Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

Abstract

For a general class of autonomous quasi-linear elliptic equations on R^n we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in R^n.

to appear in Ann. Inst. H. Poincare Anal. Non Lineaire

References in corpus (3)

• On the symmetry of minimizers
• Multi-peak solutions for a class of degenerate elliptic equations
• Symmetry and monotonicity of least energy solutions

Cited by in corpus (4)

• Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems
• Stability and instability results for standing waves of quasi-linear Schrödinger equations
• On the existence and regularity of vector solutions for quasilinear systems with linear coupling
• On the existence of symmetric minimizers