On a Schrodinger equation involving fractional (N/s1, q)-Laplacian with critical growth and Trudinger-Moser nonlinearity

被引：1

作者：

Lv, Huilin ^{[1
]}

Zheng, Shenzhou ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 139卷

关键词：

Nonlinear Schrodinger equation; Fractional; (p; q)-Laplacian; Ground-state solutions; Critical Sobolev growth; Trudinger-Moser inequality; MULTIPLICITY; INEQUALITIES; SPACES;

D O I：

10.1016/j.cnsns.2024.108284

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear Schrodinger equation of fractional (N/s(1), q)-Laplacian is considered with the Rabinowitz potential, critical Sobolev growth and Trudinger-Moser nonlinearity in R-N (-Delta)(N/s1)(s1) u + (-Delta)(q)(s2) u + V(epsilon x)(vertical bar u vertical bar(Ns1-2) u + vertical bar u vertical bar(q-2) u) = lambda f (u) + vertical bar u vertical bar(qs2)*(-2) u. We establish the global existence of nonnegative ground-state solution for suitable parameter values primarily through variational analysis, fractional Trudinger-Moser inequality and mountain pass approach. It is a crucial ingredient to handle three aspects concerning the limiting setting s(1)p = N, the critical Sobolev growth and Trudinger-Moser nonlinearity.

引用

页数：20

共 50 条

[41] On a zero-mass (N, q)-Laplacian equation in RN with exponential critical growth
Carvalho, J. L.
Figueiredo, G. M.
Furtado, M. F.
Medeiros, E.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 213
[42] Existence and multiplicity of solutions for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth (vol 62, 051507, 2021)
de S. Boer, Eduardo
Miyagaki, Olimpio H.
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (06)
[43] On multi-bump solutions for a class of (N, q)-Laplacian equation with critical exponential growth in RN
Zhang, Xin
Nguyen, Thin Van
Liang, Sihua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (02)
[44] Ground state solution for a periodic p&q-Laplacian equation involving critical growth without the Ambrosetti-Rabinowitz condition
Shen, Liejun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 10499 - 10511
[45] Multiplicity and concentration of solutions to a fractional N/S-Laplacian problem with exponential critical growth and potentials competition
Wei, Chen
Ji, Chao
Thin, Nguyen Van
ACTA MATHEMATICA SCIENTIA, 2025,
[46] A novel method for new solutions of time fractional (1+2)-dimensional nonlinear Schrodinger equation involving dual-power law nonlinearity
Ray, S. Saha
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2019, 33 (24):
[47] Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to D1,p-critical quasi-linear static Schrodinger-Hartree equation involving p-Laplacian-Δp
Dai, Wei
Li, Yafei
Liu, Zhao
MATHEMATISCHE ANNALEN, 2025, 391 (02) : 2653 - 2708
[48] On solutions for fractional N/s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pmb {N/s}$$\end{document}-Laplacian equations involving exponential growth
Manassés de Souza
Uberlandio B. Severo
Thiago Luiz O. do Rêgo
Nonlinear Differential Equations and Applications NoDEA, 2021, 28 (6)
[49] A Kirchhoff Type Equation in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pmb {\mathbb {R}}^{N}$$\end{document} Involving the fractional (p, q)-Laplacian
Vincenzo Ambrosio
The Journal of Geometric Analysis, 2022, 32 (4):
[50] Existence of nontrivial solution for a quasilinear elliptic equation with (p, q)-Laplacian in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^N$$\end{document} involving critical Sobolev exponents
M. Latifi
R. Bayat
Journal of Elliptic and Parabolic Equations, 2020, 6 (2) : 733 - 749

← 1 2 3 4 5 →