A semilinear elliptic equation with convex and concave nonlinearities

Elliot Tonkes

DOI: http://dx.doi.org/10.12775/TMNA.1999.013

Abstract


In this paper we establish the existence of multiple solutions for a semilinear
elliptic equation with competing convex and concave nonlinearities.
With either a subcritical or critical exponent in the nonlinearity, the existence of
solutions is determined with critical point theorems based on the symmetric
mountain pass theorem.

Keywords


Fountain theorem; dual fountain theorem; symmetric mountain pass

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