We prove the existence of N distinct pair of nontrivial solutionsfor critical p-Laplacian problems in R^N, as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.

Multiplicity results for critical p-Laplacian problems

MARANO, Salvatore Angelo;
2017-01-01

Abstract

We prove the existence of N distinct pair of nontrivial solutionsfor critical p-Laplacian problems in R^N, as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.
2017
p-Laplacian; Critical Sobolev exponent; Multiplicity; Palais-Smale sequences
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/19808
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