The aim of this paper is to investigate the existence of solutions of the non-local elliptic problem ® (−)su = |u|p−2u + h(x) in , u = 0 on Rn , where s ò (0, 1), n > 2s, is an open bounded domain of Rn with Lipschitz boundary @ , (−)s is the nonlocal Laplacian operator, 2 < p < 2*s and h ò L2( ). This problem requires the study of the eigenvalue problem related to the fractional Laplace operator, with or without potential. K
Infinitely many solutions for non-local problems with broken symmetry
SALVATORE, Addolorata
2018-01-01
Abstract
The aim of this paper is to investigate the existence of solutions of the non-local elliptic problem ® (−)su = |u|p−2u + h(x) in , u = 0 on Rn , where s ò (0, 1), n > 2s, is an open bounded domain of Rn with Lipschitz boundary @ , (−)s is the nonlocal Laplacian operator, 2 < p < 2*s and h ò L2( ). This problem requires the study of the eigenvalue problem related to the fractional Laplace operator, with or without potential. KFile in questo prodotto:
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[2191950X - Advances in Nonlinear Analysis] Infinitely many solutions for non-local problems with broken symmetry (1).pdf
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