top library bulletin
bar home editorial guideline content
dot
 
Volume 36 • Number 1 • 2013
 
• Multiplicity of Solutions for a Nonlinear Degenerate Problem in Anisotropic Variable Exponent Spaces
Denisa Stancu-Dumitru

Abstract.
We study a nonlinear elliptic problem with Dirichlet boundary condition involving an anisotropic operator with variable exponents on a smooth bounded domain $\Omega\subset \mathbb R^N$. For that equation we prove the existence of at least two nonnegative and nontrivial weak solutions. Our main result is proved using as main tools the Mountain Pass Theorem and a direct method in Calculus of Variation.

2010 Mathematics Subject Classification: 35J60, 35J70, 46E30


Full text: PDF
 
dot