Multiplicity of positive and nodal solutions for an inhomogeneous nonlinear elliptic problem
β Scribed by Kuan-Ju Chen
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 778 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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 \(\Omega, u=0\)
This paper is a contribution on the inhomogeneous problem where Ξ© = R N \Ο is an exterior domain in R N , Ο β R N is a bounded domain with a smooth boundary and N > 2. Ξ» > 0, ΞΌ > 0 and p > 1 are given constants. f (x) β L β (Ξ© ) and K (x) are given locally HΓΆlder continuous functions in Ξ© , and K (