Qualitative properties of singular solutions to semilinear elliptic problems

Abstract

We consider positive singular solutions to semilinear elliptic problems with possibly singular nonlinearity. We deduce symmetry and monotonicity properties of the solutions via the moving plane procedure.

References in corpus (1)

• On singular elliptic equations with measure sources

Cited by in corpus (5)

• Monotonicity and symmetry of singular solutions to quasilinear problems
• A quantitative study of radial symmetry for solutions to semilinear equations in ${\mathbb{R}}^n$
• Notes on Overdetermined Singular Problems
• Asymptotic behavior and existence of solutions for singular elliptic equations
• A symmetry result for polyharmonic problems with Navier conditions