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Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in R-N

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First Author : Qian, Chenyin

Date of Publication : 2018-01-01

Journal : NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.42

Page Number : 290-307

ISSN : 1468-1218

Key Words : Hardy Sobolev exponent;m-semiflow;omega-limit compact;Asymptotic behavior

Abstract : We consider asymptotic behavior for a parabolic equation (p-heat equation) with (sub-)critical Sobolev and Hardy exponent potential u(t) - div(vertical bar del u vertical bar(p-2)del u) + f (u) = V(x) vertical bar u vertical bar(q-2)/vertical bar x vertic

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