Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains
Date
2005-01-30
Authors
Alves, Claudianor O.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper we study the existence of positive solutions for the problem -Δpup*-1 in Ω and u = 0 on ∂Ω where Ω is a perturbed annular domain (see definition in the introduction) and N > p ≥ 2. To prove our main results, we use the Concentration-Compactness Principle and variational techniques.
Description
Keywords
p-Laplacian operator, Critical exponents, Deformation lemma
Citation
Alves, C. O. (2005). Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains. <i>Electronic Journal of Differential Equations, 2005</i>(13), pp. 1-13.
Rights
Attribution 4.0 International