On the definition and properties of p-superharmonic functions.
Peter Lindqvist (1986)
Journal für die reine und angewandte Mathematik
Piotr Hajłasz, Paweł Strzelecki (1993)
Colloquium Mathematicae
A. Azzam (1983)
Annales Polonici Mathematici
Fang Hua Lin (1989)
Inventiones mathematicae
Borsuk, Michail, Portnyagin, Dmitriy (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Hegedűs, Jenö (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
C. Bardos, Kuo Pen Yu (1983)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Philip Brenner (1979)
Mathematische Zeitschrift
Joao-Paulo Dias, Mário Figueira (1991)
Revista Matemática de la Universidad Complutense de Madrid
In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.
Tri, N.M. (1999)
Rendiconti del Seminario Matematico
Kazuo Yamazaki (2015)
Applications of Mathematics
We study the -dimensional Boussinesq system with dissipation and diffusion generalized in terms of fractional Laplacians. In particular, we show that given the critical dissipation, a solution pair remains smooth for all time even with zero diffusivity. In the supercritical case, we obtain component reduction results of regularity criteria and smallness conditions for the global regularity in dimensions two and three.
Eitan Tadmor, Dongming Wei (2008)
Journal of the European Mathematical Society
We prove that the one-dimensional Euler–Poisson system driven by the Poisson forcing together with the usual -law pressure, , admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the -system. Global regularity is shown to depend on whether or not the initial configuration of the Riemann...
Taoufik Hmidi (2007/2008)
Séminaire Équations aux dérivées partielles
In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.
Michael Struwe (1981)
Manuscripta mathematica
Gushchin, A.K. (2005)
Sibirskij Matematicheskij Zhurnal
Vincenzo Vespri (1992)
Manuscripta mathematica
E. Di Benedetto (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Gary Lieberman (1992)
Banach Center Publications
Shuichi Kawashima, Yoshihiro Shibata (1995)
Czechoslovak Mathematical Journal
Takeo Ohsawa, Klaus Diederich (1991)
Mathematische Annalen