Nontrivial solutions for perturbed p–Laplacian on RN
✍ Scribed by Jiabao Su; Liu Zhaoli
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 172 KB
- Volume
- 248-249
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
In this paper, a positive and a negative solution are obtained for quasilinear elliptic equations on R^N^ with resonance near infinity and near the origin at the first eigenvalue.
📜 SIMILAR VOLUMES
We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a Carathéodory reaction term. We assume that asymptotically at infinity resonance occurs with respect to the principal eigenvalue λ 0 = 0 (i.e., the reaction term is p -1sublinear near +∞). Using variational
In this paper we study the existence of nonoscillatory solutions of the equation where • : R ~ R is defined by ~(s) = Islp-2s with p > 1, and {xk}~ is a nonnegative sequence with infinitely many positive terms. (~) 1998 Elsevier Science B.V. All rights reserved.
In this paper, the criterion for the existence of at least one positive solution of the one-dimensional p-Laplacian (b(t)Q(u'))' + c(t)!(u) = 0, are obtained, where a(u) = IuIP-~u, p > 0