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Existence And Regularity Of Solutions For Elliptic Equations With Convective Term And Singular Nonlinear Term

Posted on:2022-07-08Degree:MasterType:Thesis
Country:ChinaCandidate:X H HeFull Text:PDF
GTID:2480306485458604Subject:Applied Mathematics
Abstract/Summary:
In this paper,the existence and regularity of solutions to two kinds of elliptic Dirichlet problems are studied by truncation and approximation methods.Firstly,we mainly consider the existence and regularity of solutions to elliptic equations with singular lower order term and convective term (?) where Ω is a bounded smooth subset of RN(N>2)with 0 ∈Ω,γ>0,M(x)is a bounded measurable matrix,E(x)is a vector function and f(x)is a non-negative measurable function.Secondly,the existence of solutions to the following elliptic Dirichlet problem is considered (?) where Ω is a bounded smooth subset of RN(N>2)with 0∈Ω,p>0,f(x)∈Lm(Ω)(m≥1).
Keywords/Search Tags:Existence, Regularity, Non-coercivity, Convection term, Singular lower order term
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