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Multiplicity of nodal solutions for a critical quasilinear equation with symmetry

โœ Scribed by Marcelo F. Furtado

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
184 KB
Volume
63
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Existence and Multiplicity of Nodal Solu
Existence and Multiplicity of Nodal Solutions for Nonlinear Elliptic Equations with Critical Sobolev Growth
โœ E. Hebey; M. Vaugon ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 \(\Omega, u=0\)