On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data

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Abstract: We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the datum μ. We provide partial uniqueness results and qualitative properties of the constructed solutions concerning, in particular, the structure of their diffuse part with respect to the harmonic-capacity.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data ; volume:18 ; number:2 ; year:2018 ; pages:361-392 ; extent:32
Advanced nonlinear studies ; 18, Heft 2 (2018), 361-392 (gesamt 32)

Creator: Smarrazzo, Flavia

DOI: 10.1515/ans-2017-6032

URN: urn:nbn:de:101:1-2405031606215.573656885161

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 11:00 AM CEST

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Smarrazzo, Flavia

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On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data

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Other Objects (12)

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Quasilinear elliptic equations involving measure valued absorption terms and measure data

Existence of solutions for a class of degenerate quasilinear elliptic equation in R N with vanishing potentials

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Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems

Sparse optimal control of a quasilinear elliptic PDE in measure spaces

A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

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Soliton Solutions to a Class of Quasilinear Elliptic Equations on ℝ

Quasilinear elliptic parabolic differential equations

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