TY - JOUR
T1 - The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms
AU - Nyamoradi , N.
AU - Shekarbigi , M.
AU - Razlansari , A.
AU - Yavari , M.
JO - Journal of Partial Differential Equations
VL - 3
SP - 193
EP - 216
PY - 2013
DA - 2013/09
SN - 26
DO - http://doi.org/10.4208/jpde.v26.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/5161.html
KW - Nehari manifold
KW - quasilinear elliptic equation
KW - Sobolev critical exponent
AB - <p>In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters \lambda belongs to a certain subset of R.</p>