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Bounded weak solutions with Orlicz space data: an overview - MaRDI portal

Bounded weak solutions with Orlicz space data: an overview (Q6547673)

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scientific article; zbMATH DE number 7857653
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Bounded weak solutions with Orlicz space data: an overview
scientific article; zbMATH DE number 7857653

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    Bounded weak solutions with Orlicz space data: an overview (English)
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    30 May 2024
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    The author proves the boundedness of weak solutions to a Dirichlet problem involving a degenerate elliptic operator with the right-hand side in an Orlicz space \(L^A(\Omega)\), where \(A\) is a Young function. In fact, the author provides a generalization of the classical case for the Laplace Dirichlet problem with right-hand side \(f\in L^q(\Omega)\), \(q>\frac{n}{2}\).\N\NFor the entire collection see [Zbl 1537.35003].
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    Orlicz spaces
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    degenerate elliptic equations
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    bounded solutions
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    a priori estimates
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