We explore the multiplicity of weak solutions to a nonlocal equation in R^n governed by a fractional power of the p-Laplacian combined with a Kirchhoff-type term. The nonlinearity involves two real parameters, one of which is of perturbing nature, and can overpower the critical fractional exponent. Our arguments rely upon the variational apparatus; the lack of compactness of the Sobolev embeddings is circumvented by the use of convenient weight functions.
Weak solutions for a fractional equation in R^n with Kirchhoff terms
CAMMAROTO, Filippo;VILASI, LUCA
2016-01-01
Abstract
We explore the multiplicity of weak solutions to a nonlocal equation in R^n governed by a fractional power of the p-Laplacian combined with a Kirchhoff-type term. The nonlinearity involves two real parameters, one of which is of perturbing nature, and can overpower the critical fractional exponent. Our arguments rely upon the variational apparatus; the lack of compactness of the Sobolev embeddings is circumvented by the use of convenient weight functions.File in questo prodotto:
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