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The obstacle problem for noncoercive elliptic equations with variable growth and \(L^1\)-data - MaRDI portal

The obstacle problem for noncoercive elliptic equations with variable growth and \(L^1\)-data (Q2676521)

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The obstacle problem for noncoercive elliptic equations with variable growth and \(L^1\)-data
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    The obstacle problem for noncoercive elliptic equations with variable growth and \(L^1\)-data (English)
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    27 September 2022
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    Summary: The aim of this paper is to study the obstacle problem associated with noncoercive elliptic equations with variable exponents and \(L^1\)-data. After proving the existence and regularity of entropy solutions, we have extended the Lewy-Stampacchia inequalities to the case of noncoercive elliptic operators.
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    obstacle problem
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    noncoercive elliptic equations
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    entropy solutions
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    existence
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    regularity
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