Existence of solutions for a nonlinear PDE with an inverse square potential

[摘要] Via Linking theorem and delicate energy estimates, the existence of nontrivial solutions for a nonlinear PDE with an inverse square potential and critical sobolev exponent is proved. This result gives a partial (positive) answer to an open problem proposed in Ferrero and Gazzola (J. Differential Equations 177 (2001) 494). (C) 2003 Elsevier Science (USA). All rights reserved.

[发布日期] 2003-12-10

[关键词] critical point theory;inverse square potential;critical Sobolev exponent