Unbounded supersolutions of nonlinear equations with nonstandard growth.
Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Burenkov, V.I., Evans, W.D., Goldman, M.L. (1997)
Journal of Inequalities and Applications [electronic only]
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Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)
Journal of Inequalities and Applications [electronic only]
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Wang, Yong, Li, Guanfeng (2010)
Journal of Inequalities and Applications [electronic only]
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Xiao, Ying-Xiong, Yang, Qiao-Hua (2009)
Journal of Inequalities and Applications [electronic only]
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Pečarić, Josip, Persson, Lars Erik (1996)
Mathematica Pannonica
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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.
Giovanna Idone (2004)
Czechoslovak Mathematical Journal
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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension is less than or equal to .
Cekic, Bilal, Mashiyev, Rabil A. (2010)
Abstract and Applied Analysis
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