Abstract
Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
Highlights
In this paper we are concerned with existence and multiplicity of positive solutions for the following class of system nonlinear boundary value anisotropic problems given by
In some sense our paper is a natural continuation of the studies initiated in [2] and it completes the results obtained there, because we study the existence and multiplicity of solutions for a system involving an anisotropic operator using subsolution & supersolution method
We start proving a result of unicity of solution to the linear problem and a Comparison Principle of the anisotropic operator
Summary
Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem. Received 21 September 2018, appeared 28 June 2019 Communicated by Dimitri Mugnai
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