Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 33, Issue 2, Pages 837-859Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcds.2013.33.837
Keywords
Fractional Laplacian; critical exponent; nonlinear mixed boundary problem; a priori estimates; nonlinear Liouville theorems; moving planes method
Categories
Funding
- Chile Government grants Fondecyt [11085063, 1120105]
- Spain Government [MTM2008-06349-C03-01, MTM2011-27739-C04-01]
- CMM of U. de Chile
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We establish existence and regularity results, as well as a priori estimates of Gidas-Spruck type for nonlinear problems involving the fractional power of the Dirichlet Laplacian.
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