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Monotonicity constraints and supercritical Neumann problems

Monotonicity constraints and supercritical Neumann problems,10.1016/j.anihpc.2010.10.003,Annales De L Institut Henri Poincare-analyse Non Lineaire,Enr

Monotonicity constraints and supercritical Neumann problems   (Citations: 1)
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We prove the existence of a positive and radially increasing solution for a semilinear Neumann problem on a ball. No growth conditions are imposed on the nonlinearity. The method introduces monotonicity constraints which simplify the existence of a minimizer for the associated functional. Special care must be employed to establish the validity of the Euler equation.
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