A semilinear elliptic equation with convex and concave nonlinearities
KeywordsFountain theorem, dual fountain theorem, symmetric mountain pass
AbstractIn 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.
How to Cite
TONKES, Elliot. A semilinear elliptic equation with convex and concave nonlinearities. Topological Methods in Nonlinear Analysis [online]. 1 June 1999, T. 13, nr 2, s. 251–271. [accessed 30.1.2023].
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