Symmetrization of functions and the best constant of 1-dim  Sobolev inequality.

Watanabe, Kohtaro; Kametaka, Yoshinori; Nagai, Atsushi; Yamagishi, Hiroyuki; Takemura, Kazuo

Displaying similar documents to “Symmetrization of functions and the best constant of 1-dim $L^{p}$ Sobolev inequality.”

Unbounded supersolutions of nonlinear equations with nonstandard growth.

Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)

Boundary Value Problems [electronic only]

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On weighted Hardy and Poincaré-type inequalities for differences.

Burenkov, V.I., Evans, W.D., Goldman, M.L. (1997)

Journal of Inequalities and Applications [electronic only]

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Carlson type inequalities.

Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)

Journal of Inequalities and Applications [electronic only]

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Weighted decomposition estimates for differential forms.

Wang, Yong, Li, Guanfeng (2010)

Journal of Inequalities and Applications [electronic only]

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An improved Hardy-Rellich inequality with optimal constant.

Xiao, Ying-Xiong, Yang, Qiao-Hua (2009)

Journal of Inequalities and Applications [electronic only]

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Some weighted multidimensional Berwald, Thunsdorff and Borell inequalities.

Pečarić, Josip, Persson, Lars Erik (1996)

Mathematica Pannonica

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Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems

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.

Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

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 $q > 2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$ .

Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.

Cekic, Bilal, Mashiyev, Rabil A. (2010)

Abstract and Applied Analysis

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Displaying similar documents to “Symmetrization of functions and the best constant of 1-dim L p Sobolev inequality.”

Displaying similar documents to “Symmetrization of functions and the best constant of 1-dim $L^{p}$ Sobolev inequality.”