[PDF][PDF] Global existence and exponential decay of solutions for higher-order parabolic equation with logarithmic nonlinearity

T Cömert, E Piskin - Miskolc Mathematical Notes, 2022 - real.mtak.hu
This paper deals with the initial boundary value problem for a higher-order parabolic
equation with logarithmic source term ut+(−∆) mu= ur− 2uln| u|. By employing the potential …

On a planar equation involving (2, q)-Laplacian with zero mass and Trudinger–Moser nonlinearity

JA Cardoso, JC de Albuquerque, J Carvalho… - Nonlinear Analysis: Real …, 2025 - Elsevier
In this work, we study existence of positive solutions to a class of (2, q)-equations in the zero
mass case in R 2. We establish a weighted Sobolev embedding and we introduce a new …

Existence and concentration of ground state solutions for an equation with steep potential well and exponential critical growth

GSA Costa - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
In this paper we study the existence and concentration of ground state solution for the
following class of elliptic equations {− div (a (|∇ u| p)|∇ u| p− 2∇ u)+(1+ μ V (x)) b (| u| p)| u …

On multi-bump solutions for a class of (N, q)-Laplacian equation with critical exponential growth in RN

X Zhang, T Van Nguyen, S Liang - Journal of Mathematical Analysis and …, 2025 - Elsevier
This article deals with the following (N, q)-Laplacian equation with exponential critical
growth in RN of the form:− Δ N u− Δ q u+(μ V (x)+ B (x))(| u| N− 2 u+| u| q− 2 u)= h (u) in RN …

[PDF][PDF] Concentration of solutions for -Laplacian equation with Trudinger–Moser nonlinearity

L Wang, J Wang, B Zhang - Electronic Journal of Qualitative Theory of …, 2023 - real.mtak.hu
Concentration of solutions for an (N, q)-Laplacian equation with Trudinger–Moser nonlinearity
Page 1 Electronic Journal of Qualitative Theory of Differential Equations 2023, No. 14, 1–32; …

The study of elliptic Kirchhoff-Boussinesq type nonlinear problems

RD Carlos - 2024 - realp.unb.br
The study of elliptic Kirchhoff-Boussinesq type nonlinear problems Page 1 Universidade de
Brasília Instituto de Ciências Exatas Departamento de Matemática The study of elliptic …

Existence of solutions for the -Laplacian equation with logarithmic and critical exponential nonlinearities

J Jiang, Y Yang - 2024 - projecteuclid.org
This paper deals with the following (p,N)-Laplacian equation with logarithmic and critical
exponential nonlinearities. Precisely, we study the problem-\Delta_p u-\Delta_N u=| u|^ q-2 …

[引用][C] Existence, concentration and multiplicity of solutions for -Laplacian equations with convolution term

Y Li, T Van Nguyen, B Zhang - Bulletin of Mathematical Sciences, 2024 - World Scientific
In this paper, we concern some qualitative properties of the following (p, N)-Laplacian
equations with convolution term:− Δ pu− Δ N u+ V (𝜀 x)(| u| p− 2 u+| u| N− 2 u)=[| x|− μ∗ F …