Results 11 to 20 of about 106,170 (279)
On solvability of elliptic boundary value problems via global invertibility [PDF]
Opuscula Mathematica, 2020 In this work we apply global invertibility result in order to examine the solvability of elliptic equations with both Neumann and Dirichlet boundary conditions.
Michał Bełdziński, Marek Galewski
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Pointwise Inequalities for Elliptic Boundary Value Problems [PDF]
Journal of Mathematical Sciences, 2015 8 ...
Luo, G., Maz'ya, V. G.
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Overdetermined boundary value problems with strongly nonlinear elliptic PDE
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider the strongly nonlinear elliptic Dirichlet problem in a connected bounded domain, overdetermined with the constant Neumann condition $F(\nabla u)=c$ on the boundary. Here $F$ is convex and positively homogeneous of degree 1, and its polar $F^
Boqiang Lv, Fengquan Li, Weilin Zou
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Time-reversal and elliptic boundary value problems
, 2008 In this paper, we prove that there exists a unique, bounded continuous weak solution to the Dirichlet boundary value problem for a general class of second-order elliptic operators with singular coefficients, which does not necessarily have the maximum ...
Chen, Zhen-Qing, Zhang, Tusheng
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Elliptic operators in odd subspaces
, 1999 An elliptic theory is constructed for operators acting in subspaces defined via odd pseudodifferential projections. Subspaces of this type arise as Calderon subspaces for first order elliptic differential operators on manifolds with boundary, or as ...
A Yu Savin +25 more
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On general boundary-value problems for elliptic equations [PDF]
Sbornik: Mathematics, 1998 Let \(M\) be a compact manifold with a smooth boundary \(X:=\partial M\). A ``general'' boundary value problem in the sense of the title is given by an elliptic operator \(\widehat D: H^s(M,E)\to H^{s-m}(M,F)\) of order \(m\) (\(E\), \(F\) are vector bundles over \(M\) and \(H^s\) denote \(L^2\)-Sobolev spaces) and a boundary operator \(\widehat B ...
Schulze, Bert-Wolfgang (Prof. Dr.) +2 more
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Degenerate Differential Operators with Parameters
Abstract and Applied Analysis, 2007 The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint.
Veli B. Shakhmurov
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Spectral estimates for resolvent differences of self-adjoint elliptic operators
, 2010 The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations.
Behrndt, Jussi +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary.
D. K. Potapov
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Mathematics, 2023 Elliptic boundary value problems (BVPs) are widely used in various scientific and engineering disciplines that involve finding solutions to elliptic partial differential equations subject to certain boundary conditions.
Chih-Yu Liu, Cheng-Yu Ku
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