MULTIPLE POSITIVE SOLUTIONS FOR DEGENERATE ELLIPTIC EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENTS ON SINGULAR MANIFOLDS

作者：Fan, Haining^*; Liu, Xiaochun

来源：Electronic Journal of Differential Equations, 2013, 181.

• Nehari manifold
• critical cone Sobolev exponent
• totally characteristic degeneracy
• sign-changing weight function

In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the Nehari manifold method.

• 出版日期2013-8-7
• 单位武汉大学