The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions
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DOI: 10.1007/s11253-017-1350-6
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… read more here.
Keywords: nehari manifold; manifold approach; boundary conditions; approach laplacian ... See more keywords
The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity
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DOI: 10.1063/1.5084062
Abstract: In this paper, we study the Schrodinger equation involving fractional p-Laplacian on the whole space of the form (−Δ)psu+V(x)|u|p−2u=λK(x)|u|p−2u+μQ(x)|u|p−2ulog|u|, with the sign-changing weight function Q and the possibly vanishing potential V. By using the relationship… read more here.
Keywords: involving fractional; equation involving; nehari manifold; fractional laplacian ... See more keywords