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

Authors

  • G. A. Afrouzi University of Mazandaran, Babolsar
  • Z. Naghizadeh University of Mazandaran, Babolsar
  • F. Mirzadeh Islamic Azad University, Ghaemshahr Branch, P.O.Box 163, Ghaemshahr

DOI:

https://doi.org/10.26713/cma.v2i1.129

Keywords:

Elliptic equations, Mountain pass theorem, Weak solution

Abstract

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.
384 310

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Issue

Vol. 2 No. 1 (2011)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Afrouzi, G. A., Naghizadeh, Z., & Mirzadeh, F. (2011). Existence of Weak Solutions for A Class of Nonuniformly Nonlinear Elliptic Equations of $p$-Laplacian Type. Communications in Mathematics and Applications, 2(1), 21-28. https://doi.org/10.26713/cma.v2i1.129