For a general class of autonomous quasi-linear elliptic equations on Rn 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 Rn
Jeanjean, L., Squassina, M., Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations, <<ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE>>, 2009; 26 (N/A): 1701-1716 [http://hdl.handle.net/10807/90081]
Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations
Squassina, MarcoUltimo
2009
Abstract
For a general class of autonomous quasi-linear elliptic equations on Rn 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 Rn
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