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

Mathematics – Analysis of PDEs

Scientific paper

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

Scientific paper

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.

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