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Linking and existence results for perturbations of the p-Laplacian

✍ Scribed by Xianling Fan; Zhancun Li

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
42
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Linking and Multiplicity Results for the
Linking and Multiplicity Results for the p-Laplacian on Unbounded Cylinders
✍ Xian-ling Fan; Yuan-zhang Zhao πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 106 KB

We consider the p-Laplacian problem , where p u = div βˆ‡u p-2 βˆ‡u , Ξ» is a constant in a certain range, and a ∈ L N/p ∩ L ∞ is nonnegative a ≑ 0. Using the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on a and f .

Existence Results for the p-Laplacian wi
Existence Results for the p-Laplacian with Nonlinear Boundary Conditions
✍ JuliΓ‘n FernΓ‘ndez Bonder; Julio D Rossi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 198 KB

In this paper we study the existence of nontrivial solutions for the problem < < py 2 N ⌬ u s u u in a bounded smooth domain ⍀ ; ‫ޒ‬ , with a nonlinear boundary p < < py 2 Ε½ . condition given by ٌu Ρ¨ urΡ¨ s f u on the boundary of the domain. The proofs are based on variational and topological argumen

Existence and uniqueness for the p(x)-La
Existence and uniqueness for the p(x)-Laplacian-Dirichlet problems
✍ Xianling Fan πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 140 KB

## Abstract Two results on the existence and uniqueness for the __p__(__x__)‐Laplacian‐Dirichlet problem βˆ’__div__(|βˆ‡__u__|^__p__(__x__) βˆ’ 2^βˆ‡__u__) = __f__(__x__, __u__) in Ξ©, __u__ = 0 on βˆ‚Ξ©, are obtained. The first one deals with the case that __f__(__x__, __u__) is nonincreasing in __u__. The se