We prove the existence of N distinct pairs of nontrivial solutions for critical p- Laplacian problems in RN , 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 / Barletta, G; Candito, P; Marano, A. S.; Perera, K. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - 196:4(2017), pp. 1431-1440. [10.1007/s10231-016-0622-3]

Multiplicity results for critical p-Laplacian problems

Barletta G;Candito P
;
2017-01-01

Abstract

We prove the existence of N distinct pairs of nontrivial solutions for critical p- Laplacian problems in RN , 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, Palais–Smale sequences
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/1504
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