On the Dirichlet problem for a degenerate elliptic equation
Jan H. Chabrowski (1987)
Commentationes Mathematicae Universitatis Carolinae
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Jan H. Chabrowski (1987)
Commentationes Mathematicae Universitatis Carolinae
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Petr Kaplický, Jakub Tichý (2013)
Open Mathematics
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We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.
Guo, Yan-ping, Jiang, Wei-hua, Xu, Fang (2006)
Applied Mathematics E-Notes [electronic only]
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Changchun, Liu (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mujaković, Nermina (2010)
Boundary Value Problems [electronic only]
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Jana Zlámalová (2001)
Applications of Mathematics
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In this paper, under the maximum angle condition, the finite element method is analyzed for nonlinear elliptic variational problem formulated in [4]. In [4] the analysis was done under the minimum angle condition.
Bernard Ducomet (2002)
Applications of Mathematics
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We consider a simplified one-dimensional thermal model of nuclear matter, described by a system of Navier-Stokes-Poisson type, with a non monotone equation of state due to an effective nuclear interaction. We prove the existence of globally defined (large) solutions of the corresponding free boundary problem, with an exterior pressure which is not required to be positive, provided sufficient thermal dissipation is present. We give also a partial description of the asymptotic behaviour...
Fatemi, M.R., Aliyev, N.A. (2010)
Abstract and Applied Analysis
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