On a ground state and two symmetric ground state solutions in a domain
Wang, Hwai-Chiuan
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Displaying similar documents to “Domain geometry and the Pohozaev identity.”
On a ground state and two symmetric ground state solutions in a domain
On the effect of the domain geometry on uniqueness of positive solutions of
Henghui Zou (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On distinguished representative domains
Stefan Bergman (1977)
Annales Polonici Mathematici
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Exhaustions of John domains.
Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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On nonisometric isospectral connected fractal domains.
Brian D. Sleeman, Chen Hua (2000)
Revista Matemática Iberoamericana
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A fundamental question raised by M. Kac in 1966 is: Must two isospectral planar domains necessarily be isometric? Following a long history of investigation C. Gordon, D. L. Webb and S. Wolpert in 1992 finally proved that the answer is no. By using the idea of transposition maps one can construct a wide class of planar domains with piecewise continuous boundaries which are isospectral but non-isometric. In this note we study the Kac question in relation to domains with fractal boundaries...
Existence of weak solutions for mixed problems of parabolic systems.
Duong, Pham Trieu, Van Loi, Do (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bounce trajectories in plane tubular domains
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
A note on Costara's paper
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains
Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
A characterization of balls using the domain derivative.
Didenko, Andriy, Emamizadeh, Behrouz (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bounce trajectories in plane tubular domains
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.