A POSITIVE SOLUTION OF A NONHOMOGENEOUS ELLIPTIC EQUATION IN RNWITHG-INVARIANT NONLINEARITY
- 3 November 2002
- journal article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 27 (1-2) , 1-22
- https://doi.org/10.1081/pde-120002781
Abstract
In this paper we consider the following elliptic problem: where f(x, u) is a superlinear and subcritical function in u and . We assume that f(x, u) is invariant under some finite group action G on x and we show the existence of at least one positive solution of 1 via variational methods.Keywords
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