Critical nonlinear elliptic equations with singularities and cylindrical symmetry

Badiale, Marino, and Serra, Enrico. "Critical nonlinear elliptic equations with singularities and cylindrical symmetry." Revista Matemática Iberoamericana 20.1 (2004): 33-66. <http://eudml.org/doc/39711>.

@article{Badiale2004,
abstract = {Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of RN. We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions.},
author = {Badiale, Marino, Serra, Enrico},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales elípticas; Ecuaciones diferenciales no lineales; Singularidades; Problemas variacionales; Principio de concentración-compacidad; critical exponents; loss of compactness; cylindrical symmetry; singularities},
language = {eng},
number = {1},
pages = {33-66},
title = {Critical nonlinear elliptic equations with singularities and cylindrical symmetry},
url = {http://eudml.org/doc/39711},
volume = {20},
year = {2004},
}

TY - JOUR
AU - Badiale, Marino
AU - Serra, Enrico
TI - Critical nonlinear elliptic equations with singularities and cylindrical symmetry
JO - Revista Matemática Iberoamericana
PY - 2004
VL - 20
IS - 1
SP - 33
EP - 66
AB - Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of RN. We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions.
LA - eng
KW - Ecuaciones diferenciales elípticas; Ecuaciones diferenciales no lineales; Singularidades; Problemas variacionales; Principio de concentración-compacidad; critical exponents; loss of compactness; cylindrical symmetry; singularities
UR - http://eudml.org/doc/39711
ER -