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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.