Document Zbl 1240.35583

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An elliptic free boundary transmission, the Bernoulli and the obstacle problems. (English) Zbl 1240.35583

Differ. Integral Equ. 23, No. 7-8, 685-702 (2010).

From the author’s introduction: “The purpose of this paper is to study an elliptic boundary problem with a solution-dependent measure and to apply the abstract result to the obstacle problem with nonzero Neumann condition on the free boundary and to the Bernoulli problem.”

Reviewer: Milan Štědrý (Praha)

MSC:

35R35	Free boundary problems for PDEs
35J65	Nonlinear boundary value problems for linear elliptic equations
49J20	Existence theories for optimal control problems involving partial differential equations

Keywords:

elliptic boundary value problem; elliptic transmission problem; free boundary; Neumann condition on the free boundary

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