Entropy solutions for nonlinear elliptic anisotropic problem with Robin boundary condition

Entropy solutions for nonlinear elliptic anisotropic problem with Robin boundary condition

We study a Robin boundary value problem of nonlinear elliptic anisotropic type. We prove the existence and uniqueness of entropy solutions for $L^{1}$-data, via the existence and uniqueness of weak solution.

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Veröffentlicht in:Matematiche 2013-11, Vol.68 (2), p.53-76
Hauptverfasser: Stanislas Ouaro, Bernard Kaka Bonzi, Frederic D. Zongo
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropic equations
Entropy solutions
Robin boundary conditions
Variable exponent
Weak solutions
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Beschreibung
Zusammenfassung:We study a Robin boundary value problem of nonlinear elliptic anisotropic type. We prove the existence and uniqueness of entropy solutions for $L^{1}$-data, via the existence and uniqueness of weak solution.
ISSN:0373-3505
2037-5298
DOI:10.4418/2013.68.2.4