We investigate qualitative properties of the MEMS equation involving the p−Laplace operator, 1 < p 2, on a ball B in R^N, N \geq 2. We establish uniqueness results for semi-stable solutions and stability (in a strict sense) of minimal solutions. In particular, along the minimal branch we show monotonicity of the first eigenvalue for the corresponding linearized operator and radial symmetry of the first eigenfunction.

Castorina, D., Esposito, P., Sciunzi, B. (2008). p-MEMS equation on the ball. METHODS AND APPLICATIONS OF ANALYSIS, 15(3), 277-284.

p-MEMS equation on the ball

ESPOSITO, PIERPAOLO;
2008-01-01

Abstract

We investigate qualitative properties of the MEMS equation involving the p−Laplace operator, 1 < p 2, on a ball B in R^N, N \geq 2. We establish uniqueness results for semi-stable solutions and stability (in a strict sense) of minimal solutions. In particular, along the minimal branch we show monotonicity of the first eigenvalue for the corresponding linearized operator and radial symmetry of the first eigenfunction.
2008
Castorina, D., Esposito, P., Sciunzi, B. (2008). p-MEMS equation on the ball. METHODS AND APPLICATIONS OF ANALYSIS, 15(3), 277-284.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/150223
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