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Rukavishnikov, V.; Rukavishnikova, E.

On the existence and uniqueness of \(R_v\)-generalized solution for Dirichlet problem with singularity on all boundary. (English) Zbl 1474.35331

Abstr. Appl. Anal. 2014, Article ID 568726, 6 p. (2014).
Summary: The existence and uniqueness of the \(R_v\)-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.

Cited in 2 Documents

MSC:

35J75 Singular elliptic equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
35J20 Variational methods for second-order elliptic equations
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\textit{V. Rukavishnikov} and \textit{E. Rukavishnikova}, Abstr. Appl. Anal. 2014, Article ID 568726, 6 p. (2014; Zbl 1474.35331)
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References:

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