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paper

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

arXiv:0806.0955 · doi:10.1016/j.anihpc.2008.11.003

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