Existence of Multi-Bump Solutions For a Class of Quasilinear Problems
- 1 November 2006
- journal article
- research article
- Published by Walter de Gruyter GmbH in Advanced Nonlinear Studies
- Vol. 6 (4) , 491-509
- https://doi.org/10.1515/ans-2006-0401
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.Keywords
This publication has 1 reference indexed in Scilit:
- Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization MethodAdvanced Nonlinear Studies, 2005