Claudia Bucur, Marco Squassina
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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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.
Key concepts: Convexity, Regular polygon, Mathematics, Nonlinear system, Convex analysis, Partial differential equation, Applied mathematics, Elliptic partial differential equation