Robin boundary value problems on arbitrary domains
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Publication:4485735
DOI10.1090/S0002-9947-00-02444-2zbMath0947.35072OpenAlexW1533569303MaRDI QIDQ4485735
Publication date: 18 June 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02444-2
Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- The effect of domain shape on the number of positive solutions of certain nonlinear equations
- Membranes élastiquement liées inhomogènes ou sur une surface: Une nouvelle extension de théorème isopérimétrique de Rayleigh-Faber- Krahn. (Inhomogeneously or on a surface elastically supported membranes: A new extension of the isoperimetric theorem of Rayleigh-Faber-Krahn)
- Every superposition operator mapping one Sobolev space into another is continuous
- Maximum principles and their applications
- Gaussian estimates and interpolation of the spectrum in \(L^ p\)
- Domain perturbation for elliptic equations subject to Robin boundary conditions
- Untere und obere Schranken für den tiefsten Eigenwert der elastisch gestützten Membran
- Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates
- Weakly Differentiable Functions
- On the scattering frequencies of the laplace operator for exterior domains
- Scattering frequencies of resonators
