Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique

Abstract

In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma physics. Under a general hypothesis it is proved an existence result and multiple solutions are obtained by considering an additional natural condition.

Keywords

• \(p\&q\)-laplacian operator
• nonhomogeneous operator
• sub-supersolutions
• existence
• multiplicity