TY  - JOUR
AU  - de Araujo, Anderson L. A.
AU  - Medeiros, Aldo H. S.
AU  - Motreanu, Dumitru
TI  - Solutions for a nonlinear equation with competing operators and supercritical exponential growth
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2024
PG  - 14
SN  - 1747-6933
DO  - 10.1080/17476933.2024.2341773
UR  - https://m2.mtmt.hu/api/publication/34993484
ID  - 34993484
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fahri Aktas, Mustafa
AU  - Ece Demir, Elif
TI  - Oscillation criteria of Kamenev-type for non-linear partial differential equations
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2024
PG  - 15
SN  - 1747-6933
DO  - 10.1080/17476933.2024.2343393
UR  - https://m2.mtmt.hu/api/publication/34980720
ID  - 34980720
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ayazoglu, Rabil
AU  - Akkoyunlu, Ebubekir
AU  - Naghizadeh, Zohreh
TI  - Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2024
PG  - 22
SN  - 1747-6933
DO  - 10.1080/17476933.2024.2345666
UR  - https://m2.mtmt.hu/api/publication/34979624
ID  - 34979624
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Choudhuri, Debajyoti
AU  - Tavares, Leandro S.
AU  - Alvarez Lopez, Jesus A.
TI  - A study of a critical hypoelliptic problem in a stratified Lie group
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2024
PG  - 18
SN  - 1747-6933
DO  - 10.1080/17476933.2024.2310217
UR  - https://m2.mtmt.hu/api/publication/34673745
ID  - 34673745
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dridi, Brahim
AU  - Ben Ali, Abir Amor
AU  - Jaidane, Rached
TI  - Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2024
PG  - 29
SN  - 1747-6933
DO  - 10.1080/17476933.2024.2310250
UR  - https://m2.mtmt.hu/api/publication/34641748
ID  - 34641748
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Souissi, Chouhaid
TI  - Weak solutions for a (p, q)-Laplacian systems with two parameters on PCF-fractal domain
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
VL  - 69
PY  - 2024
IS  - 1
SP  - 161
EP  - 184
PG  - 24
SN  - 1747-6933
DO  - 10.1080/17476933.2022.2119961
UR  - https://m2.mtmt.hu/api/publication/34607699
ID  - 34607699
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Wang, Pengyan
TI  - A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2023
PG  - 20
SN  - 1747-6933
DO  - 10.1080/17476933.2023.2209727
UR  - https://m2.mtmt.hu/api/publication/34458024
ID  - 34458024
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Sang, Yanbin
AU  - Han, Zhiling
AU  - Yu, Xue
TI  - Fractional nonhomogeneous system with Hardy-Littlewood-Sobolev critical nonlinearity
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2023
PG  - 24
SN  - 1747-6933
DO  - 10.1080/17476933.2023.2236970
UR  - https://m2.mtmt.hu/api/publication/34349775
ID  - 34349775
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Mohanta, Kaushik
AU  - Tyagi, Jagmohan
TI  - Improved hardy inequalities on Riemannian manifolds
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2023
PG  - 12
SN  - 1747-6933
DO  - 10.1080/17476933.2023.2247998
UR  - https://m2.mtmt.hu/api/publication/34306160
ID  - 34306160
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Faress, Moussa
AU  - Fahlaoui, Said
TI  - Some uncertainty principles for the continuous voice transform
JF  - COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
J2  - COMPLEX VAR ELLIPTIC
PY  - 2023
PG  - 13
SN  - 1747-6933
DO  - 10.1080/17476933.2023.2260991
UR  - https://m2.mtmt.hu/api/publication/34255896
ID  - 34255896
AB  - 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.
LA  - English
DB  - MTMT
ER  -