Journal
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume 143, Issue 1, Pages 39-71Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0308210511000175
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Funding
- MEC (Spain) Project [MTM2008-06326-C02-02, MTM2009-10878]
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We study a nonlinear elliptic problem defined in a bounded domain involving fractional powers of the Laplacian operator together with a concave-convex term. We completely characterize the range of parameters for which solutions of the problem exist and prove a multiplicity result. We also prove an associated trace inequality and some Liouville-type results.
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