Positive solutions for singular critical elliptic problems.

DOI10.1016/S0893-9659(04)90082-1zbMath1133.35358MaRDI QIDQ1764528

Shuangjie Peng, Dongsheng Kang

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Cites Work

• Unnamed Item
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• A global compactness result for singular elliptic problems involving critical Sobolev exponent
• Existence of solutions for singular critical growth semilinear elliptic equations

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