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