Exploració per tema "a priori estimates"
Ara es mostren els items 1-2 de 2
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Positive solutions of nonlinear problems involving the square root of the Laplacian
(2009-05)
Report de recerca
Accés obertWe consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, ... -
Regularity of stable solutions to reaction-diffusion elliptic equations
(European Mathematical Society Press, 2023-07-14)
Capítol de llibre
Accés obertThe boundedness of stable solutions to semilinear (or reaction-diffusion) elliptic PDEs has been studied since the 1970s. In dimensions 10 and higher, there exist stable energy solutions which are unbounded (or singular). ...