Boundary behavior of capillary surfaces possibly with extremal boundary angles.
Liang, Fei-Tsen (2005)
International Journal of Mathematics and Mathematical Sciences
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Liang, Fei-Tsen (2005)
International Journal of Mathematics and Mathematical Sciences
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Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Lieberman, Gary M. (2007)
Boundary Value Problems [electronic only]
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Ouassarah, A.Ait, Hajjaj, A. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Tomasz Dłotko (1991)
Czechoslovak Mathematical Journal
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Arina A. Arkhipova (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.
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.