RT Journal Article
T1 The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions
A1 Colorado Heras, Eduardo
A1 Ortega García, Alejandro
AB In this work we study the existence of solutions to the critical Brezis-Nirenberg problem when one deals with the spectral fractional Laplace operator and mixed Dirichlet-Neumann boundary conditions, i.e.,  {(-Delta)(s)u = lambda u+u(2:-1), u > 0 in Omega,  u = 0 on Sigma D;  partial derivative u/partial derivative v = 0 on Sigma(N),  where Omega C R-N is a regular bounded domain, 1/2 < s < 1, 2(s)(*); is the critical fractional Sobolev exponent, 0 <= lambda epsilon R, v is the outwards normal to partial derivative Omega, Sigma(D), Sigma(N) are smooth (N - 1)-dimensional submanifolds of partial derivative Omega such that Sigma(D) U Sigma(N) = partial derivative Omega , Sigma(D) boolean AND Sigma(N) = 0, and ED fl EAr = F is a smooth (N- 2)-dimensional submanifold of 812.
PB Elsevier
SN 0022-247X
YR 2019
FD 2019-05-15
LK https://hdl.handle.net/10016/31953
UL https://hdl.handle.net/10016/31953
LA eng
DS e-Archivo
RD 1 sept. 2024