Existence and multiplicity of solutions for elliptic systems with nonstandard growth condition in
โ Scribed by Xianchun Xu; Yukun An
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 267 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper we prove the existence and multiplicity of solutions for the elliptic system with nonlinear coupling at the smooth boundary given by where โฆ is a bounded domain of R N with smooth boundary, โ/โฮฝ is the outer normal derivative. The proofs are done under suitable assumptions on the Ham
Let \(\Omega\) be a smooth bounded domain of \(\mathbb{R}^{n}, n \geqslant 3\), and let \(a(x)\) and \(f(x)\) be two smooth functions defined on a neighbourhood of \(\Omega\). First we study the existence of nodal solutions for the equation \(\Delta u+a(x) u=f(x)|u|^{4 /(n-2)} u\) on \(\Omega, u=0\)