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Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain by Figueiredo, G. M.; Siciliano, G. is a scholarly article available to read on EtoBox.

What is Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain about?

We prove existence of multiple positive solutions for a {\sl fractional scalar field equation} in a bounded domain, whenever $p$ tends to the critical Sobolev exponent. By means of the "photography method", we prove that the topology of the domain furnishes a lower bound on the number of positive solutions.

Author

Figueiredo, G. M.; Siciliano, G.

Published

2016

Language

EN