Abstract
A multiplicity theorem for a non-smooth homogeneous Neumann problem withp-Laplacian is established through a locally Lipschitz continuous version of the Brézis-Nirenberg critical point result in presence of splitting. Some special cases are then pointed out.
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Marano, S.A., Bisci, G.M. Multiplicity results for a Neumann problem withp-Laplacian and non-smooth potential. Rend. Circ. Mat. Palermo 55, 113–122 (2006). https://doi.org/10.1007/BF02874672
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DOI: https://doi.org/10.1007/BF02874672
Key words phrases
- p-Laplacian
- elliptic hemivariational inequalities
- elliptic equations with discontinuous nonlinearities
- multiple solutions