We study a nonlinear elliptic system of Lane–Emden type in RN, N>2, which is equivalent to a fourth order quasilinear elliptic equation involving a suitable ‘‘sublinear’’ term. Thanks to some compact imbeddings in weighted Sobolev spaces, existence and multiplicity results are proved by means of a generalized Weierstrass Theorem and a variant of the Symmetric Mountain Pass Theorem. These results apply in particular to a biharmonic equation under Navier conditions in RN.
Some results on weighted subquadratic Lane-Emden Elliptic Systems in unbounded domains
BARILE, SARA;SALVATORE, Addolorata
2016-01-01
Abstract
We study a nonlinear elliptic system of Lane–Emden type in RN, N>2, which is equivalent to a fourth order quasilinear elliptic equation involving a suitable ‘‘sublinear’’ term. Thanks to some compact imbeddings in weighted Sobolev spaces, existence and multiplicity results are proved by means of a generalized Weierstrass Theorem and a variant of the Symmetric Mountain Pass Theorem. These results apply in particular to a biharmonic equation under Navier conditions in RN.File in questo prodotto:
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