Renormalized solutions for p(x)-Laplacian equation with Neumann nonhomogeneous boundary condition

Renormalized solutions for p(x)-Laplacian equation with Neumann nonhomogeneous boundary condition

In this work, we study the existence of at least one renormalized solution for a p (.)-Laplacian equation associated with a maximal monotone operator and a nonlinear Neumann boundary condition. The functional setting involves Lebesgue and Sobolev spaces with variable exponent.

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Veröffentlicht in:Advances in operator theory 2020-09, Vol.5 (4), p.1480-1497
Hauptverfasser: Benboubker, M. B., Nassouri, E., Ouaro, S., Traoré, U.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Operator Theory
Original Paper
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Beschreibung
Zusammenfassung:In this work, we study the existence of at least one renormalized solution for a p (.)-Laplacian equation associated with a maximal monotone operator and a nonlinear Neumann boundary condition. The functional setting involves Lebesgue and Sobolev spaces with variable exponent.
ISSN:2662-2009
2538-225X
DOI:10.1007/s43036-020-00055-9