Existence of Multi-Bump Solutions For a Class of Quasilinear Problems-Reference-Cited by-同舟云学术

Existence of Multi-Bump Solutions For a Class of Quasilinear Problems

Published:2006-11-01 Issue:4 Volume:6 Page:491-509
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Alves Claudianor O.¹

Affiliation:

1. Departamento de Matemática e Estatística Universidade Federal de Campina Grande CEP:58109-970, Campina Grande - Pb, Brazil

Abstract

Abstract Using variational methods we establish existence of multi-bump solutions for the following class of quasilinear problems -Δpu + (λV(x) + Z(x))up-1 = f(u); u > 0 in ℝN where Δpu is the p-Laplacian operator, 2 ≤ p < N, λ ∈ (0, ∞), f is a continuous function with subcritical growth and V,Z : ℝN → ℝ are continuous functions verifying some hypothesis.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2006-0401/pdf

Reference7 articles.

1. Homoclinic type solutions for semilinear elliptic PDE on IRN Pure;Coti Zelati;Math,1992

2. Positive solutions of a Schrodinger equations with critical non - linearity;Clapp;Math Phys,2004

3. Existence and multiplicity results for some superlinear elliptic problems in IRN;Bartsch;Part,1995

4. Nonlinear Schrodinger equations with steep poten - cial well;Bartsch;Math,2001

5. Multiple positive solutions for a nonlinearSchrodinger equation;Bartsch;Angew Math Phys,2000

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multi-bump Solutions for a Strongly Degenerate Problem with Exponential Growth in $$\mathbb {R}^N$$;The Journal of Geometric Analysis;2024-05-25

2. Multi-bump Solutions for the Quasilinear Choquard Equation in $\mathbb {R}^{N}$;Journal of Dynamical and Control Systems;2023-01-24

3. On multi-bump solutions for a class of Schrödinger-Poisson systems with $ p $-Laplacian in $ \mathbb{R}^{3} $;AIMS Mathematics;2023

4. Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well;Journal of Differential Equations;2022-01

5. Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well;Science China Mathematics;2021-03-15