We obtain nontrivial solutions of a critical fractional p-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev exponents, the problem is further complicated by the absence of a direct sum decomposition suitable for applying classical linking arguments. We overcome this difficulty using a generalized linking construction based on the Z2-cohomological index

Perera, K., Squassina, M., Yang, Y., Critical fractional p-Laplacian problems with possibly vanishing potentials, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2016; 433 (N/A): 818-831 [http://hdl.handle.net/10807/87033]

Critical fractional p-Laplacian problems with possibly vanishing potentials

Squassina, Marco
Secondo
;
2016

Abstract

We obtain nontrivial solutions of a critical fractional p-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev exponents, the problem is further complicated by the absence of a direct sum decomposition suitable for applying classical linking arguments. We overcome this difficulty using a generalized linking construction based on the Z2-cohomological index
Inglese
Perera, K., Squassina, M., Yang, Y., Critical fractional p-Laplacian problems with possibly vanishing potentials, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2016; 433 (N/A): 818-831 [http://hdl.handle.net/10807/87033]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/87033
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