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In this article we study the nonlinear Robin boundary-value problem -Δp(x)u=f(x,u)  in  Ω, |∇u|px-2(∂u/∂ν)+β(x)up(x)-2u=0 on ∂Ω. Using the variational method, under appropriate assumptions on f, we obtain results on existence and multiplicity of solutions

abstract and applied analysis

Existence of Solutions for a Robin Problem Involving the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Laplace Operator

Existence of Solutions for a Robin Problem Involving thep(x)-Laplace Operator