Monotonicity constraints and supercritical Neumann problems |
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Authors: | Enrico Serra Paolo Tilli |
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Institution: | Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy |
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Abstract: | 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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Keywords: | 35J60 58E30 |
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