𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiplicity of positive and nodal solutions for an inhomogeneous nonlinear elliptic problem

✍ Scribed by Kuan-Ju Chen


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
778 KB
Volume
70
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Existence and Multiplicity of Nodal Solu
✍ E. Hebey; M. Vaugon πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 594 KB

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 \(\Omega, u=0\)

Multiple positive solutions for an inhom
✍ Yinbin Deng; Yujin Guo πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 305 KB

This paper is a contribution on the inhomogeneous problem where Ξ© = R N \Ο‰ is an exterior domain in R N , Ο‰ βŠ‚ 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) ∈ L ∞ (Ξ© ) and K (x) are given locally HΓΆlder continuous functions in Ξ© , and K (