Boundary regularity of weak solutions to nonlinear elliptic obstacle problems.
Meng, Junxia, Chu, Yuming (2006)
Boundary Value Problems [electronic only]
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Meng, Junxia, Chu, Yuming (2006)
Boundary Value Problems [electronic only]
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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.
Ouassarah, A.Ait, Hajjaj, A. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Jan Malý (1996)
Commentationes Mathematicae Universitatis Carolinae
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Let be a weak solution of a quasilinear elliptic equation of the growth with a measure right hand term . We estimate at an interior point of the domain , or an irregular boundary point , in terms of a norm of , a nonlinear potential of and the Wiener integral of . This quantifies the result on necessity of the Wiener criterion.
Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Michael Pingen (2008)
Annales de l'I.H.P. Analyse non linéaire
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