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- W2620609610 abstract "In this article we are interested in the nonlocal regional Schrodinger equation with critical exponent begin{eqnarray*} &epsilon^{2alpha} (-Delta)_{rho}^{alpha}u + u = lambda u^q + u^{2_{alpha}^{*}-1} mbox{ in } mathbb{R}^{N}, & u in H^{alpha}(mathbb{R}^{N}), end{eqnarray*} where $epsilon$ is a small positive parameter, $alpha in (0,1)$, $qin (1,2_{alpha}^{*}-1)$, $2_{alpha}^{*} = frac{2N}{N-2alpha}$ is the critical Sobolev exponent, $lambda >0$ is a parameter and $(-Delta)_{rho}^{alpha}$ is a variational version of the regional laplacian, whose range of scope is a ball with radius $rho(x)>0$. We study the existence of a ground state and we analyze the behavior of semi-classical solutions as $varepsilonto 0$." @default.
- W2620609610 created "2017-06-09" @default.
- W2620609610 creator A5084472168 @default.
- W2620609610 date "2017-06-01" @default.
- W2620609610 modified "2023-09-27" @default.
- W2620609610 title "A critical nonlinear elliptic equation with non local regional diffusion" @default.
- W2620609610 hasPublicationYear "2017" @default.
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