@article{MTMT:31457089,
	title = {Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations},
	url = {https://m2.mtmt.hu/api/publication/31457089},
	author = {Hernandez-Berrnejo, Benito and Gabriel Iagar, Razvan and Gordoa, Pilar R. and Pickering, Andrew and Sanchez, Ariel},
	doi = {10.1016/j.jmaa.2019.123503},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {482},
	unique-id = {31457089},
	issn = {0022-247X},
	abstract = {In this work, we construct a transformation between the solutions to the following reaction-convection-diffusion equationpartial derivative(t)u = (u(m))(xx) a(x)(u(m))(x) b(x)u(m),posed for x is an element of, t >= 0 and m > 1, where a, b are two continuous real functions, and the solutions to the nonhomogeneous diffusion equation of porous medium typef(y)partial derivative tau theta = (theta(m))(yy),posed in the half-line y is an element of [0, infinity) with tau >= 0, m > 1 and suitable density functions f (y). We apply this correspondence to the case of constant coefficients a(x) =1 and b(x) = K > 0. For this case, we prove that compactly supported solutions to the first equation blow up in finite time, together with their interfaces, as x -> -infinity. We then establish the large time behavior of solutions to a homogeneous Dirichlet problem associated to the first equation on a bounded interval. We also prove a finite time blow-up of the interfaces for compactly supported solutions to the second equation when f(y) = y(-gamma) with gamma > 2. (C) 2019 Elsevier Inc. All rights reserved.},
	keywords = {porous medium equation; Reaction-convection-diffusion equations; Nonhomogeneous equations; Finite time blow-up; Correspondence of solutions},
	year = {2020},
	eissn = {1096-0813}
}

@article{MTMT:30905939,
	title = {The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case},
	url = {https://m2.mtmt.hu/api/publication/30905939},
	author = {Grillo, Gabriele and Muratori, Matteo and Luis Vazquez, Juan},
	doi = {10.1007/s00208-018-1680-1},
	journal-iso = {MATH ANN},
	journal = {MATHEMATISCHE ANNALEN},
	volume = {373},
	unique-id = {30905939},
	issn = {0025-5831},
	abstract = {We study the long-time behaviour of nonnegative solutions of the Porous Medium Equation posed on Cartan-Hadamard manifolds having very large negative curvature, more precisely when the sectional or Ricci curvatures diverge at infinity more than quadratically in terms of the geodesic distance to the pole. We find an unexpected separate-variable behaviour that reminds one of Dirichlet problems on bounded Euclidean domains. As a crucial step, we prove existence of solutions to a related sublinear elliptic problem, a result of independent interest. Uniqueness of solutions vanishing at infinity is also shown, along with comparison principles, both in the parabolic and in the elliptic case. Our results complete previous analyses of the porous medium equation flow on negatively curved Riemannian manifolds, which were carried out first for the hyperbolic space and then for general Cartan-Hadamard manifolds with a negative curvature having at most quadratic growth. We point out that no similar analysis seems to exist for the linear heat flow. We also translate such results into some weighted porous medium equations in the Euclidean space having special weights.},
	year = {2019},
	eissn = {1432-1807},
	pages = {119-153},
	orcid-numbers = {Grillo, Gabriele/0000-0002-7912-5089}
}

@article{MTMT:26729745,
	title = {Complementary remarks to properties of the energy spectrum in Leith's model of turbulence},
	url = {https://m2.mtmt.hu/api/publication/26729745},
	author = {Grebenev, V N and Nazarenko, S V and Medvedev, S B},
	doi = {10.1002/zamm.201600060},
	journal-iso = {ZAMM-Z ANGEW MATH ME},
	journal = {ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK},
	volume = {97},
	unique-id = {26729745},
	issn = {0044-2267},
	year = {2017},
	eissn = {1521-4001},
	pages = {664-669}
}

@article{MTMT:26729744,
	title = {Dirichlet Boundary Conditions for Degenerate and Singular Nonlinear Parabolic Equations},
	url = {https://m2.mtmt.hu/api/publication/26729744},
	author = {Punzo, Fabio and Strani, Marta},
	doi = {10.1007/s11118-016-9611-9},
	journal-iso = {POTENTIAL ANAL},
	journal = {POTENTIAL ANALYSIS},
	volume = {47},
	unique-id = {26729744},
	issn = {0926-2601},
	year = {2017},
	eissn = {1572-929X},
	pages = {151-168}
}

@article{MTMT:26002858,
	title = {Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions},
	url = {https://m2.mtmt.hu/api/publication/26002858},
	author = {Gabriel, Iagar Razvan and Sanchez, Ariel},
	doi = {10.1016/j.jmaa.2016.03.015},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {439},
	unique-id = {26002858},
	issn = {0022-247X},
	year = {2016},
	eissn = {1096-0813},
	pages = {843-863}
}

@article{MTMT:25497394,
	title = {The interfaces of an inhomogeneous non-Newtonian polytropic filtration equation with convection},
	url = {https://m2.mtmt.hu/api/publication/25497394},
	author = {Wang, Y and Xiang, Z},
	doi = {10.1093/imamat/hxt043},
	journal-iso = {IMA J APPL MATH},
	journal = {IMA JOURNAL OF APPLIED MATHEMATICS},
	volume = {80},
	unique-id = {25497394},
	issn = {0272-4960},
	year = {2015},
	eissn = {1464-3634},
	pages = {354-375}
}

@article{MTMT:23006056,
	title = {Uniqueness and non-uniqueness of solutions to quasilinear parabolic equations with a singular coefficient on weighted Riemannian manifolds},
	url = {https://m2.mtmt.hu/api/publication/23006056},
	author = {Punzo, F},
	doi = {10.3233/ASY-2012-1098},
	journal-iso = {ASYMPTOTIC ANAL},
	journal = {ASYMPTOTIC ANALYSIS},
	volume = {79},
	unique-id = {23006056},
	issn = {0921-7134},
	year = {2012},
	eissn = {1875-8576},
	pages = {273-301}
}

@article{MTMT:23006055,
	title = {Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution},
	url = {https://m2.mtmt.hu/api/publication/23006055},
	author = {Punzo, F},
	doi = {10.1007/s10231-011-0185-2},
	journal-iso = {ANN MAT PUR APPL},
	journal = {ANNALI DI MATEMATICA PURA ED APPLICATA},
	volume = {191},
	unique-id = {23006055},
	issn = {0373-3114},
	year = {2012},
	eissn = {1618-1891},
	pages = {311-338}
}

@article{MTMT:23006057,
	title = {On support of solutions to singular nonlinear parabolic equations in bounded domains},
	url = {https://m2.mtmt.hu/api/publication/23006057},
	author = {Punzo, F},
	doi = {10.4171/IFB/264},
	journal-iso = {INTERFACE FREE BOUND},
	journal = {INTERFACES AND FREE BOUNDARIES},
	volume = {13},
	unique-id = {23006057},
	issn = {1463-9963},
	year = {2011},
	eissn = {1463-9971},
	pages = {397-410}
}

@article{MTMT:23006058,
	title = {On a Semilinear Parabolic Equation with Inverse-Square Potential},
	url = {https://m2.mtmt.hu/api/publication/23006058},
	author = {Punzo, F and Tesei, A},
	doi = {10.4171/RLM/578},
	journal-iso = {REND LINCEI-MAT APPL},
	journal = {RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI},
	volume = {21},
	unique-id = {23006058},
	issn = {1120-6330},
	year = {2010},
	eissn = {1720-0768},
	pages = {359-396}
}

@article{MTMT:25687099,
	title = {Multiple positive solutions to a singular boundary value problem for a superlinear Emden-Fowler equation},
	url = {https://m2.mtmt.hu/api/publication/25687099},
	author = {Guedda, Mohammed},
	doi = {10.1016/j.jmaa.2008.05.028},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {352},
	unique-id = {25687099},
	issn = {0022-247X},
	year = {2009},
	eissn = {1096-0813},
	pages = {259-270}
}

@article{MTMT:23006059,
	title = {Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations},
	url = {https://m2.mtmt.hu/api/publication/23006059},
	author = {Punzo, F},
	doi = {10.1016/j.na.2008.12.025},
	journal-iso = {NONLINEAR ANAL-THEOR},
	journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS},
	volume = {70},
	unique-id = {23006059},
	issn = {0362-546X},
	year = {2009},
	eissn = {1873-5215},
	pages = {3020-3029}
}

@article{MTMT:23006062,
	title = {ADMISSIBLE CONDITIONS FOR PARABOLIC EQUATIONS DEGENERATING AT INFINITY},
	url = {https://m2.mtmt.hu/api/publication/23006062},
	author = {Kamin, S and Pozio, MA and Tesei, A},
	doi = {10.1090/S1061-0022-08-00996-5},
	journal-iso = {ST PETERSB MATH J+},
	journal = {ST PETERSBURG MATHEMATICAL JOURNAL},
	volume = {19},
	unique-id = {23006062},
	issn = {1061-0022},
	year = {2008},
	eissn = {1547-7371},
	pages = {239-251}
}

@article{MTMT:23006066,
	title = {Local properties of solutions of a semilinear elliptic equation with an inverse-square potential},
	url = {https://m2.mtmt.hu/api/publication/23006066},
	author = {Tesei, A},
	doi = {10.1007/s10958-008-0092-2},
	journal-iso = {J MATH SCI (US)},
	journal = {JOURNAL OF MATHEMATICAL SCIENCES (US)},
	volume = {149},
	unique-id = {23006066},
	issn = {2372-5214},
	year = {2008},
	eissn = {2372-5222},
	pages = {1726-1740}
}

@article{MTMT:23006061,
	title = {Support properties of solutions to a degenerate equation with absorption and variable density},
	url = {https://m2.mtmt.hu/api/publication/23006061},
	author = {Xiang, ZY and Mu, CL and Hu, XG},
	doi = {10.1016/j.na.2007.01.021},
	journal-iso = {NONLINEAR ANAL-THEOR},
	journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS},
	volume = {68},
	unique-id = {23006061},
	issn = {0362-546X},
	year = {2008},
	eissn = {1873-5215},
	pages = {1940-1953}
}

@article{MTMT:23006063,
	title = {Parabolic Harnack, inequality for the heat equation with inverse-square potential},
	url = {https://m2.mtmt.hu/api/publication/23006063},
	author = {Moschini, L and Tesei, A},
	doi = {10.1515/FORUM.2007.017},
	journal-iso = {FORUM MATH},
	journal = {FORUM MATHEMATICUM},
	volume = {19},
	unique-id = {23006063},
	issn = {0933-7741},
	year = {2007},
	eissn = {1435-5337},
	pages = {407-427}
}

@article{MTMT:23006064,
	title = {Nonuniqueness of solutions to semilinear parabolic equations with singular coefficients},
	url = {https://m2.mtmt.hu/api/publication/23006064},
	author = {Moschini, L and Reyes, G and Tesei, A},
	doi = {10.3934/cpaa.2006.5.155},
	journal-iso = {COMMUN PUR APPL ANAL},
	journal = {COMMUNICATIONS ON PURE AND APPLIED ANALYSIS},
	volume = {5},
	unique-id = {23006064},
	issn = {1534-0392},
	year = {2006},
	eissn = {1553-5258},
	pages = {155-179}
}

@article{MTMT:25497271,
	title = {On the uniqueness of bounded solutions to singular parabolic problems},
	url = {https://m2.mtmt.hu/api/publication/25497271},
	author = {Pozio, MA and Tesei, A},
	journal-iso = {DISCRETE CONT DYN S},
	journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A},
	volume = {13},
	unique-id = {25497271},
	issn = {1078-0947},
	year = {2005},
	eissn = {1553-5231},
	pages = {117-137}
}

@article{MTMT:23006065,
	title = {Self-similar solutions of a semilinear parabolic equation with inverse-square potential},
	url = {https://m2.mtmt.hu/api/publication/23006065},
	author = {Reyes, G and Tesei, A},
	doi = {10.1016/j.jde.2005.06.031},
	journal-iso = {J DIFFER EQUATIONS},
	journal = {JOURNAL OF DIFFERENTIAL EQUATIONS},
	volume = {219},
	unique-id = {23006065},
	issn = {0022-0396},
	year = {2005},
	eissn = {1090-2732},
	pages = {40-77}
}