Comparison results for nonlinear divergence structure elliptic PDE’s
Abstract: First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain Ω in terms of the solution of a related symmetric boundary value problem in a ball B having the same measure as Ω. For p-Laplace equations, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Comparison results for nonlinear divergence structure elliptic PDE’s ; volume:9 ; number:1 ; year:2019 ; pages:438-448 ; extent:11
Advances in nonlinear analysis ; 9, Heft 1 (2019), 438-448 (gesamt 11)
- Creator
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Liu, Yichen
Marras, Monica
Porru, Giovanni
- DOI
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10.1515/anona-2020-0008
- URN
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urn:nbn:de:101:1-2405021608326.268549585816
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:52 AM CEST
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Associated
- Liu, Yichen
- Marras, Monica
- Porru, Giovanni
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