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This work is devoted to the study of a general class of anisotropic problems involving p→(·)-Laplace operator. Based on the variational method, we establish the existence of a nontrivial solution without Ambrosetti-Rabinowitz type conditions

international journal of differential equations

On<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mover accent="true"><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mo>→</mml:mo></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Anisotropic Problems with Neumann Boundary Conditions

Onp→(x)-Anisotropic Problems with Neumann Boundary Conditions