We study a compactness result for Sobolev spaces associated to a strip. As an application, we study a Neumann problem involving the p(x,y)-Laplacian operator and an oscillating nonlinearity, proving the existence of infinitely many cylindrically symmetric weak solutions. Our approach is based on variational and topological methods in addition to the principle of symmetric criticality.
A compact embedding result for anisotropic Sobolev spaces associated to a strip-like domain and some applications
Molica Bisci, Giovanni
2021
Abstract
We study a compactness result for Sobolev spaces associated to a strip. As an application, we study a Neumann problem involving the p(x,y)-Laplacian operator and an oscillating nonlinearity, proving the existence of infinitely many cylindrically symmetric weak solutions. Our approach is based on variational and topological methods in addition to the principle of symmetric criticality.File in questo prodotto:
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