@article{MTMT:34673745,
	title = {A study of a critical hypoelliptic problem in a stratified Lie group},
	url = {https://m2.mtmt.hu/api/publication/34673745},
	author = {Choudhuri, Debajyoti and Tavares, Leandro S. and Alvarez Lopez, Jesus A.},
	doi = {10.1080/17476933.2024.2310217},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {34673745},
	issn = {1747-6933},
	keywords = {compactness; Trudinger-Moser inequality; mountain pass geometry; stratified Lie group},
	year = {2024},
	eissn = {1747-6941}
}

@article{MTMT:34641748,
	title = {Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity},
	url = {https://m2.mtmt.hu/api/publication/34641748},
	author = {Dridi, Brahim and Ben Ali, Abir Amor and Jaidane, Rached},
	doi = {10.1080/17476933.2024.2310250},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {34641748},
	issn = {1747-6933},
	keywords = {Sign-changing solution; degree theory; Moser-Trudinger's inequality; Nonlinearity of exponential growth; Weighted Kirchhoff equations; Quantitative deformation lemma},
	year = {2024},
	eissn = {1747-6941},
	orcid-numbers = {Dridi, Brahim/0000-0001-5863-029X; Jaidane, Rached/0000-0001-7241-6847}
}

@article{MTMT:34607699,
	title = {Weak solutions for a (p, q)-Laplacian systems with two parameters on PCF-fractal domain},
	url = {https://m2.mtmt.hu/api/publication/34607699},
	author = {Souissi, Chouhaid},
	doi = {10.1080/17476933.2022.2119961},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	volume = {69},
	unique-id = {34607699},
	issn = {1747-6933},
	abstract = {We study the existence of solutions for the boundary value problem{ -Delta(p)u = lambda b(x)|u|(gamma-1)u + alpha/alpha + beta a(x)|u|(alpha-1)u|v|(beta) in S \ S-0,- Delta(q)v = nu c(x)|v|(gamma-1)v + beta/alpha + beta a(x)|u|(alpha)|v|(beta-1)v in S \ S-0,v = u = 0 on S-0.where S is a given PCF fractal domain defined on RN-1, N >= 3, S-0 is its boundary, lambda and nu are real parameters, a, b, c : S -> R are appropriate functions and alpha, beta, p and q are reals satisfying an adequate hypothesis.},
	keywords = {Critical point; variational; PCF fractal; (p,q)-Laplacian system},
	year = {2024},
	eissn = {1747-6941},
	pages = {161-184},
	orcid-numbers = {Souissi, Chouhaid/0000-0002-0020-2011}
}

@article{MTMT:34458024,
	title = {A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications},
	url = {https://m2.mtmt.hu/api/publication/34458024},
	author = {Wang, Pengyan},
	doi = {10.1080/17476933.2023.2209727},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {34458024},
	issn = {1747-6933},
	abstract = {In this paper, we consider the nonlinear equation involving the non local pseudo-relativistic operators(-Delta + m(2))(5)u(x) = f (x, u(x)), where 0 < s < 1 and mass m > 0. The nonlocal pseudo-relativistic operator includes the pseudo-relativistic Schrodinger operator root-Delta + m(2). When m -> 0(+), the nonlocal pseudo-relativistic operator (-Delta + m(2))(s) is also closely related to the fractional Laplacian operator (-Delta)(s). But these two operators are quite different. We first establish a Hopf type lemma for anti-symmetric functions to nonlocal pseudo-relativistic operators, which play a key role in the method of moving planes. The main difficulty is to construct a suitable sub-solution to nonlocal pseudo-relativistic operators. Then we prove a pointwise estimate to nonlocal pseudo-relativistic operators. As an application, combined with the Hopf type lemma and the pointwise estimate, we obtain the radial symmetry and monotonicity of positive solutions to the above nonlinear nonlocal pseudo relativistic equation in the whole space. We believe that the Hopf type lemma will become a powerful tool in applying the method of moving planes on nonlocal pseudo-relativistic equations to obtain qualitative properties of solutions.},
	keywords = {MONOTONICITY; Radial symmetry; Nonlocal pseudo-relativistic equation; Hopf type lemma; method of moving planes},
	year = {2023},
	eissn = {1747-6941}
}

@article{MTMT:34349775,
	title = {Fractional nonhomogeneous system with Hardy-Littlewood-Sobolev critical nonlinearity},
	url = {https://m2.mtmt.hu/api/publication/34349775},
	author = {Sang, Yanbin and Han, Zhiling and Yu, Xue},
	doi = {10.1080/17476933.2023.2236970},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {34349775},
	issn = {1747-6933},
	abstract = {In this paper, we consider the following fractional elliptic system of Choquard type in R-N (sic)(sic)(sic) where s. (0, 1), N> 2s, 0 < mu < min{N, 4s}, 2* mu = 2N- mu N-2s is the upper critical exponent in the Hardy-Littlewood-Sobolev inequality and f(1), f(2) are nonnegative functionals in the dual space of Ds(RN). When f(1) = f(2) = 0, we establish the uniqueness of the solution to the above problem. On the other hand, when f(1) and f(2) are nonnegative functionals with Ker(f(1)) = Ker(f(2)), the multiplicity of solutions to the above problem is also shown. Moreover, we obtain the global compactness result by using (PS) decomposition.},
	keywords = {Nonhomogeneous; Variational methods; Choquard equation; Upper critical exponent; Palais-Smale decomposition},
	year = {2023},
	eissn = {1747-6941}
}

@article{MTMT:34306160,
	title = {Improved hardy inequalities on Riemannian manifolds},
	url = {https://m2.mtmt.hu/api/publication/34306160},
	author = {Mohanta, Kaushik and Tyagi, Jagmohan},
	doi = {10.1080/17476933.2023.2247998},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {34306160},
	issn = {1747-6933},
	abstract = {We study the following version of Hardy-type inequality on a domain Omega in a Riemannian manifold (M, g): integral(Omega) |del u | (p)(g).rho (alpha)dVg >=|p - 1 + beta/rho| (p) integral(Omega) |u|(rho)|del rho|(p)(g) /|rho| (p alpha)dVg + integral(Omega) V|u|(p) rho(alpha)dVg, for all u is an element of C(infinity)c (Omega). We provide sufficient conditions on p, alpha, beta,rho and V for which the above inequality holds. This generalizes earlier well-known works on Hardy inequalities on Riemannian manifolds. The functional setup covers a wide variety of particular cases, which are discussed briefly: for example, R-N with p< N, R-N \ {0} with p >= N, H-N, etc.},
	keywords = {manifold; Hardy inequality; Critical case; reminder term},
	year = {2023},
	eissn = {1747-6941}
}

@article{MTMT:34255896,
	title = {Some uncertainty principles for the continuous voice transform},
	url = {https://m2.mtmt.hu/api/publication/34255896},
	author = {Faress, Moussa and Fahlaoui, Said},
	doi = {10.1080/17476933.2023.2260991},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {34255896},
	issn = {1747-6933},
	abstract = {In this paper, after recalling the main properties of the voice transform, we prove its inversion formula, then we present some qualitative uncertainty principles associated with this transform. Finally, we find a solution to an interpolation problem.},
	keywords = {REPRESENTATION; interpolation; Voice transform; Uncertainty principles; 43-XX; 44-XX},
	year = {2023},
	eissn = {1747-6941}
}

@article{MTMT:33943044,
	title = {Multiple solutions for Kirchhoff-Schrodinger problems of fractional p-Laplacian involving Sobolev-Hardy critical exponent},
	url = {https://m2.mtmt.hu/api/publication/33943044},
	author = {Lin, Xiaolu and Zheng, Shenzhou},
	doi = {10.1080/17476933.2023.2193741},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {33943044},
	issn = {1747-6933},
	abstract = {This paper is devoted to multiple solutions to a Kirchhoff-Schrodinger type problem of fractional p-Laplacian involving the SobolevHardy critical exponent and a parameter lambda > 0. With some suitable assumptions on the potential V(x) and the nonlinearity f (x, u), the Krasnoselskii's genus argument is exploited to show the existence of infinitely many solutions if lambda is sufficiently large. Furthermore, we employ a fractional version of the concentration-compactness to prove that there are m-pairs solutions of the problem provided that lambda is small enough and the nonlinear force f (x, center dot) is odd.},
	keywords = {Multiple solutions; Krasnoselskii's genus; Kirchhoff-Schrodinger problems; Sobolev-Hardy critical exponents; fractional concentration-compactness},
	year = {2023},
	eissn = {1747-6941}
}

@article{MTMT:33943054,
	title = {The nodal solution for a problem involving the logarithmic and exponential nonlinearities},
	url = {https://m2.mtmt.hu/api/publication/33943054},
	author = {Jiang, Jialin and Yang, Yang},
	doi = {10.1080/17476933.2022.2159956},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {33943054},
	issn = {1747-6933},
	abstract = {In this work, we study the existence of the least energy sign-changing solution for the following degenerate Kirchhoff-type problem involving the fractional N/s-Laplacian with logarithmic and both subcritical and critical exponential nonlinearities: (u=0){(M)(integral(N/s dxdt))(R2N|u(x) - u(y)) -delta)N/s(sU=| u | q-2 u ln| u|) 2 + mu f(u), in omega,u=0, in R-N \omega ,R- where omega subset of R-N is a bounded domain. The proof is based on constrained variational method, fractional Trudinger-Moser inequality, quantitative deformation lemma and Brouwer's degree theory in Nehari sets. To be more precise, the least energy sign-changing solution is obtained by minimizing the energy functional on the sign-changing Nehari manifold.a},
	keywords = {Sign-changing solution; exponential growth; logarithmic nonlinearity; Kirchhoff problem; Fractional N/s-Laplacian},
	year = {2022},
	eissn = {1747-6941},
	orcid-numbers = {Jiang, Jialin/0000-0002-2082-8206}
}

@article{MTMT:33899655,
	title = {Existence of solutions for a class of quasilinear elliptic equations involving the p-Laplacian},
	url = {https://m2.mtmt.hu/api/publication/33899655},
	author = {Saeedi, Ghulamullah and Waseel, Farhad},
	doi = {10.1080/17476933.2022.2146105},
	journal-iso = {COMPLEX VAR ELLIPTIC},
	journal = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
	unique-id = {33899655},
	issn = {1747-6933},
	abstract = {This paper is concerned with the existence of solutions for the quasi-linear elliptic equations -delta(p)u-delta(p)(|u|(2 alpha))|u|(2 alpha-2)u + V(x)|u|(p-2)u = |u|(q-2)u, x is an element of R-N,where alpha >= 1,1 < p < N, p* = Np/(N - p), delta(p) is the p-Laplace operator and the potential V(x) > 0 is a continuous function. In this work, we mainly focus on nontrivial solutions. When 2 alpha p < q < p*, we establish the existence of nontrivial solutions by using Mountain-Pass lemma; when q >= 2 alpha p*, by using a Pohozaev type variational identity, we prove that the equation has no nontrivial solutions.},
	keywords = {Critical points; Variational methods; Cerami sequence; Quasilinear elliptic equations; existence and non-existence},
	year = {2022},
	eissn = {1747-6941},
	orcid-numbers = {Saeedi, Ghulamullah/0000-0003-2618-8980}
}