Multiplicity of solutions for a quasilinear problem with supercritical growth

Date

2006-03-16

Authors

Figueiredo, Giovany M.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

The multiplicity and concentration of positive solutions are established for the equation -∊p Δpu + V(z)|u|p-2 u = |u|q-2 u + λ|u|s-2u in ℝN, where 1 < p < N, ∊ > 0, p < q < p* ≤ s, p* = Np/N-p, λ ≥ 0 and V is a positive continuous function.

Description

Keywords

Variational method, Penalization method, Moser iteration method

Citation

Figueiredo, G. M. (2006). Multiplicity of solutions for a quasilinear problem with supercritical growth. <i>Electronic Journal of Differential Equations, 2006</i>(31), pp. 1-7.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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