Some results on weighted subquadratic Lane–Emden Elliptic Systems in unbounded domains

  • Sara Barile

    Politecnico di Bari, Italy
  • Addolorata Salvatore

    Politecnico di Bari, Italy

Abstract

We study a nonlinear elliptic system of Lane–Emden type in , 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 .

Cite this article

Sara Barile, Addolorata Salvatore, Some results on weighted subquadratic Lane–Emden Elliptic Systems in unbounded domains. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 27 (2016), no. 1, pp. 89–103

DOI 10.4171/RLM/724