We investigate the existence of multiple solutions for a low-dimensional Neumann problem with non-standard growth set on a strip-like domain of Rn. Variational techniques, depending in particular on a minimax theorem and a version of the principle of symmetric criticality, are employed to establish the existence of three non-zero solutions endowed with axial symmetry. Some consequences are also derived.

A non-homogeneous elliptic problem in low dimensions with three symmetric solutions

Vilasi L.
2021-01-01

Abstract

We investigate the existence of multiple solutions for a low-dimensional Neumann problem with non-standard growth set on a strip-like domain of Rn. Variational techniques, depending in particular on a minimax theorem and a version of the principle of symmetric criticality, are employed to establish the existence of three non-zero solutions endowed with axial symmetry. Some consequences are also derived.
2021
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3210631
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