Equations of p-Laplacian type in unbounded domains

被引：0

作者：

De Nápoli, PL ^{[1
]}

Mariani, MC ^{[1
]}

机构：

[1] Univ Buenos Aires, RA-1428 Buenos Aires, DF, Argentina

来源：

ADVANCED NONLINEAR STUDIES | 2002年 / 2卷 / 03期

关键词：

p-Laplacian; weighted Sobolev spaces; mountain pass lemma;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to study the existence of solutions to equations of the p-Laplacian type in unbounded domains. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. We apply the mountain pass theorem in weighted Sobolev spaces.

引用

页码：237 / 250

页数：14

共 50 条

[21] Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains
Fuzhi Li
Mirelson M. Freitas
Jiali Yu
[J]. Applied Mathematics & Optimization, 2023, 88
[22] Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains
Fuzhi Li
Dingshi Li
Mirelson M. Freitas
[J]. Banach Journal of Mathematical Analysis, 2024, 18
[23] Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains
Li, Fuzhi
Li, Dingshi
Freitas, Mirelson M.
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 18 (02)
[24] Existence of positive solutions for p(x)-Laplacian equations in unbounded domains
Liu, Wulong
Zhao, Peihao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3358 - 3371
[25] Rates of decay to equilibria for p-Laplacian type equations
Agueh, Martial
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (07) : 1909 - 1927
[26] On the Cauchy problem for Kirchhoff equations of p-Laplacian type
Kajitani, K
[J]. JEAN LERAY '99 CONFERENCE PROCEEDINGS: THE KARLSKRONA CONFERENCE IN HONOR OF JEAN LERAY, 2003, 24 : 355 - +
[27] Nonhomogeneous Elliptic Kirchhoff Equations of the P-Laplacian Type
A. Benaissa
A. Matallah
[J]. Ukrainian Mathematical Journal, 2020, 72 : 203 - 210
[28] On wave equations of the p-Laplacian type with supercritical nonlinearities
Kass, Nicholas J.
Rammaha, Mohammad A.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 183 : 70 - 101
[29] Random dynamics of stochastic p-Laplacian equations on RN with an unbounded additive noise
Zhao, Wenqiang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (02) : 1178 - 1203
[30] On fractional p-Laplacian type equations with general nonlinearities
Daouas, Adel
Louchaich, Mohamed
[J]. TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (06) : 2477 - 2491

← 1 2 3 4 5 →