We prove symmetry and monotonicity properties for positive solutions of the singular semilinear elliptic equation $-\Delta \,u\,=\,\frac{g(x)}{u^{\gamma}}\,+\,h\left( x\right) f(u)$ in bounded smooth domains with zero Dirichlet boundary conditions. The well-known moving plane method is applied.
A Note on Symmetry of Solutions for a Class of Singular Semilinear Elliptic Problems
TROMBETTA, ALESSANDRO
2016-01-01
Abstract
We prove symmetry and monotonicity properties for positive solutions of the singular semilinear elliptic equation $-\Delta \,u\,=\,\frac{g(x)}{u^{\gamma}}\,+\,h\left( x\right) f(u)$ in bounded smooth domains with zero Dirichlet boundary conditions. The well-known moving plane method is applied.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.
