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Nodal solutions for p-Laplace equations with critical growth

✍ Scribed by Yinbin Deng; Zhenhua Guo; Gengsheng Wang

Book ID
104330589
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
295 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper is concerned with the existence and nodal character of the nontrivial solutions for the following quasilinear elliptic equations involving critical Sobolev exponents:

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πŸ“œ SIMILAR VOLUMES

Existence and Multiplicity of Nodal Solu
Existence and Multiplicity of Nodal Solutions for Nonlinear Elliptic Equations with Critical Sobolev Growth
✍ 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 \(\Omega, u=0\)