Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024439 | Nonlinear Analysis: Real World Applications | 2017 | 12 Pages |
Abstract
We prove existence of multiple positive solutions for a 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.
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Authors
Giovany M. Figueiredo, Gaetano Siciliano,