References
- Pohozaev , SI . 1965 . Eigenfunctions of the equation . Soviet Math. Dokl. , 6 : 1408 – 1411 .
- Bahri , A and Coron , J-M . 1985 . Sur une équation elliptique non linéaire avec l'exposant critique de Sobolev . C. R. Acad. Sci. Paris Sér. I Math. , 301 : 345 – 348 .
- Bahri , A and Coron , J-M . 1988 . On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain . Comm. Pure Appl. Math. , 41 : 253 – 294 .
- Clapp , M and Pacella , F . 2008 . Multiple solutions to the pure critical exponent in domains with a hole of arbitrary size . Math. Z. , 259 : 575 – 589 .
- Coron , J-M . 1984 . Topologie et cas limite des injections de Sobolev . C. R. Acad. Sci. Paris Sér. I Math. , 299 : 209 – 212 .
- Dancer , EN . 1988 . A note on an equation with critical exponent . Bull. London Math. Soc. , 20 : 600 – 602 .
- Hirano , N . 2003 . Existence of nontrivial solutions for a semilinear elliptic problem with supercritical exponent . Nonlinear Anal. , 55 : 543 – 556 .
- Kazdan , JL and Warner , FW . 1975 . Remarks on some quasilinear elliptic equations . Comm. Pure Appl. Math. , 28 : 567 – 597 .
- Passaseo , D . 1989 . Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains . Manuscripta Math. , 65 : 147 – 175 .
- Passaseo , D . 1998 . Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains . Duke Math. J. , 92 : 429 – 457 .
- X.L. Fan, On Ricceri's conjecture for a class of nonlinear eigenvalue problems, Appl. Math. Lett., to appear
- Ricceri , B . 2008 . A remark on a class of nonlinear eigenvalue problems . Nonlin. Anal. , 69 : 2964 – 2968 .
- Fan , XL . 2009 . A remark on Ricceri's conjecture for a class of nonlinear eigenvalue problems . J. Math. Anal. Appl. , 349 : 436 – 442 .