An Harnack inequality for the quasi-minima of scalar integral functionals with nearly linear growth conditions (Q338000)
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scientific article; zbMATH DE number 6647438
| Language | Label | Description | Also known as |
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| English | An Harnack inequality for the quasi-minima of scalar integral functionals with nearly linear growth conditions |
scientific article; zbMATH DE number 6647438 |
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An Harnack inequality for the quasi-minima of scalar integral functionals with nearly linear growth conditions (English)
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3 November 2016
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In this note, the author considers quasi-minima of scalar integral functionals of the calculus of variations with nearly linear growth conditions, for instance with a logarithmic growth. Starting from the seminal ideas due to Giaquinta and Giusti and developing further his approach, the author proves that the quasi-minima are Hölder continuous and satisfy a Harnack inequality.
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variational inequalities
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regularity
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quasi-minima
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Hölder continuity
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