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
Squassina, M., Bucur, C. D., Approximate convexity principles and applications to PDEs in convex domains, <<NONLINEAR ANALYSIS>>, 2020; (192 111661): 1-21. [doi:10.1016/j.na.2019.111661] [http://hdl.handle.net/10807/154886]
Approximate convexity principles and applications to PDEs in convex domains
Squassina, Marco;Bucur, Claudia Dalia
2020
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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