S+ property for divergence operator $-{\rm div}\ a(z, u(z), \nabla u(z))$ with $p(\cdot)$-growth condition and applications

Krzysztof Winowski

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arXiv · 2109.12437

S+ property for divergence operator $-{\rm div}\ a(z, u(z), \nabla u(z))$ with $p(\cdot)$-growth condition and applications

Krzysztof Winowski

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Abstract

We establish a result which provides the criteria for a divergence operator dependent both on the gradient and the function itself, to satisfy the S+ property. The result is complemented by several examples and an application.

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Krzysztof Winowski. 2021-09-25. S+ property for divergence operator $-{\rm div}\ a(z, u(z), \nabla u(z))$ with $p(\cdot)$-growth condition and applications. https://arxiv.org/abs/2109.12437

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