Existence of Weak Solutions for A Class of Nonuniformly Nonlinear Elliptic Equations of $p$-Laplacian Type

G. A. Afrouzi, Z. Naghizadeh, F. Mirzadeh


The goal of this paper is to study the existence of non-trivial weak solutions for the nonuniformly nonlinear elliptic equation in an unbounded domain. The solution will be obtained in a subspace of the Sobolev space and the proofs rely essentially on a variation of the mountain pass theorem.


Elliptic equations; Mountain pass theorem; Weak solution

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DOI: http://dx.doi.org/10.26713%2Fcma.v2i1.129


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