On Nonnegative Solutions of Quasilinear Equations with Oscillating Nonlinearity in RN
Keywords:
Comparison principles, Variational methods, Nonlinear elliptic equations.Abstract
In this paper, it is obtained the existence and multiplicity of solutions for a class of quasilinear problems with an oscillating nonlinearity satisfying an area condition. The approach consists in introducing an auxiliary semilinear problem through a suitable change of variables which is equivalent to the original one, and solve it by means of the Schaefer’s Fixed Point Theorem, sub-supersolutions and minimax results
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