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Multiplicity of nodal solutions for elliptic problems involving non-odd nonlinearities

โœ Scribed by Tsung-fang Wu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
311 KB
Volume
67
Category
Article
ISSN
0362-546X

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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 \(\Omega, u=0\)