Approximate convexity principles and applications to PDEs in convex domains

Claudia Bucur; Marco Squassina

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arXiv · 1902.06419

Approximate convexity principles and applications to PDEs in convex domains

Claudia Bucur·Marco Squassina

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Abstract

We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases.

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Claudia Bucur, Marco Squassina. 2019-02-18. Approximate convexity principles and applications to PDEs in convex domains. https://arxiv.org/abs/1902.06419

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