Existence and Symmetry of Least Energy Solutions for a Class of Quasi-linear Elliptic Equations
نویسندگان
چکیده
Abstract. Pour une large classe d’équations quasilinéaires elliptiques autonomes sur R , on montre l’existence d’une solution de moindre énergie. On montre aussi que toutes les solutions de moindres énergies ont un signe constant et sont, à une translation près, radiales. For a general class of autonomous quasi-linear elliptic equations on R 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.
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