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• W1684579360 abstract "In this paper second order elliptic boundary value problems on bounded domains $OmegasubsetdR^n$ with boundary conditions on $partialOmega$ depending nonlinearly on the spectral parameter are investigated in an operator theoretic framework. For a general class of locally meromorphic functions in the boundary condition a solution operator of the boundary value problem is constructed with the help of a linearization procedure. In the special case of rational Nevanlinna or Riesz-Herglotz functions on the boundary the solution operator is obtained in an explicit form in the product Hilbert space $L^2(Omega)oplus (L^2(partialOmega))^m$, which is a natural generalization of known results on $lambda$-linear elliptic boundary value problems and $lambda$-rational boundary value problems for ordinary second order differential equations." @default.
• W1684579360 created "2016-06-24" @default.
• W1684579360 creator A5069380657 @default.
• W1684579360 date "2008-12-22" @default.
• W1684579360 modified "2023-09-27" @default.
• W1684579360 title "A class of nonlinear elliptic boundary value problems" @default.
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• W1684579360 hasPublicationYear "2008" @default.
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