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Discrete and Continuous Dynamical Systems - Series S
Article . 2025 . Peer-reviewed
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An anisotropic Dirichlet system including unbounded coefficients

Authors: Dumitru Motreanu; Abdolrahman Razani; Elisabetta Tornatore;

An anisotropic Dirichlet system including unbounded coefficients

Abstract

This paper focuses on an anisotropic system driven by (p, q)- Laplacian operators with unbounded coefficients depending on the solution, and whose lower order-terms exhibit full dependence on the solution and its gradient. The main results establish the existence of solutions and the uniform boundedness of the solution set. The approach is based on a suitable truncation to drop the unboundedness of the coefficients and on the solvability of the truncated system within the theory of pseudomonotone operators.

Country
Italy
Keywords

bounded solution, Anisotropic p-Laplacian, unbounded coefficient, bounded solution, truncation, pseudomonotone operator, truncation, Anisotropic p-Laplacian, pseudomonotone operator, unbounded coefficient, Settore MATH-03/A - Analisi matematica

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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