On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands

S. Bonafede

doi:10.1216/RMJ-2018-48-6-1781

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Home > Journals > Rocky Mountain J. Math. > Volume 48 > Issue 6 > Article

2018 On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands

S. Bonafede

Rocky Mountain J. Math. 48(6): 1781-1797 (2018). DOI: 10.1216/RMJ-2018-48-6-1781

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Abstract

In this paper, we obtain the boundedness of minimizers for a class of integral functionals, defined in a weighted anisotropic space.

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S. Bonafede. "On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands." Rocky Mountain J. Math. 48 (6) 1781 - 1797, 2018. https://doi.org/10.1216/RMJ-2018-48-6-1781

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Published: 2018

First available in Project Euclid: 24 November 2018

zbMATH: 06987224

MathSciNet: MR3879301

Digital Object Identifier: 10.1216/RMJ-2018-48-6-1781

Subjects:

Primary: 35G20 , 35J70 , 45K05

Keywords: boundedness of solutions , minima of higher order integral functionals , Moser method , Weighted functions

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Rocky Mountain J. Math.

Vol.48 • No. 6 • 2018

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S. Bonafede "On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands," Rocky Mountain Journal of Mathematics, Rocky Mountain J. Math. 48(6), 1781-1797, (2018)

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