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The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions

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We consider a class of p(x)-Laplacian equations involving nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based on the Nehari manifold, which is similar to the fibering… Click to show full abstract

We consider a class of p(x)-Laplacian equations involving nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based on the Nehari manifold, which is similar to the fibering method proposed by Drabek and Pohozaev, together with the recent idea from Brown and Wu.

Keywords: nehari manifold; manifold approach; boundary conditions; approach laplacian; nonlinear boundary

Journal Title: Ukrainian Mathematical Journal
Year Published: 2017

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