New Poincaré inequalities from old.
Buckley, Stephen M., Koskela, Pekka (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “Bilateral isoperimetric inequalities for boundary moments of plane domains.”
New Poincaré inequalities from old.
Investigation of the question of the well-posedness of diffraction problems in the case of angular domains.
Mokeeva, N.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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On the connectedness of boundary and complement for domains
Andrzej Czarnecki, Marcin Kulczycki, Wojciech Lubawski (2011)
Annales Polonici Mathematici
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This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.
On the principal frequency of a convex membrane and related problems
Endre Makai (1959)
Czechoslovak Mathematical Journal
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Hardy and Rellich type inequalities with remainders
Ramil Nasibullin (2022)
Czechoslovak Mathematical Journal
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Hardy and Rellich type inequalities with an additional term are proved for compactly supported smooth functions on open subsets of the Euclidean space. We obtain one-dimensional Hardy type inequalities and their multidimensional analogues in convex domains with the finite inradius. We use Bessel functions and the Lamb constant. The statements proved are a generalization for the case of arbitrary $p\geq 2$ of the corresponding inequality proved by F. G. Avkhadiev, K.-J. Wirths (2011)...
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.
Bounce trajectories in plane tubular domains
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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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.
Boundary value problems in domains with peaks.
Duduchava, R., Silbermann, B. (2000)
Memoirs on Differential Equations and Mathematical Physics
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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...
Exhaustions of John domains.
Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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On singular non-linear parabolic differential inequalities in unbounded domains
Tomasz Dłotko (1980)
Annales Polonici Mathematici
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Biholomorphic invariants related to the Bergman functions
Maciej Skwarczyński
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CONTENTSPRELIMINARY REMARKS........................................................................................ 5 Introduction..................................................................................................... 5 Basic definitions, examples and facts............................................................... 8I. LU QI-KENQ DOMAINS........................................................................................... 13 Some properties of Lu Qi-keng domains.....................................................
On distinguished representative domains
Stefan Bergman (1977)
Annales Polonici Mathematici
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