Pairs of sign-changing solutions for sublinear elliptic equations with Neumann boundary conditions

Pairs of sign-changing solutions for sublinear elliptic equations with Neumann boundary conditions

We consider the Neumann problem for a sublinear elliptic equation in a convex bounded domain of $\mathbb{R}^{N}$. Using an variant of Clark Theorem, we obtain the existence and multiplicity of its pairs of sign-changing solutions.

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Veröffentlicht in:Electronic journal of differential equations 2014-04, Vol.2014 (112), p.1-9
Hauptverfasser: Chengyue Li, Qi Zhang, Fenfen Chen
Format: Artikel
Sprache:eng
Schlagworte:
Clark Theorem
critical point
Elliptic equation
Neumann problem
sublinear potential
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Zusammenfassung:We consider the Neumann problem for a sublinear elliptic equation in a convex bounded domain of $\mathbb{R}^{N}$. Using an variant of Clark Theorem, we obtain the existence and multiplicity of its pairs of sign-changing solutions.
ISSN:1072-6691