References
- Caffarelli , L , Kohn , R and Nirenberg , L . 1984 . First order interpolation inequalities with weights . Compos. Math. , 53 : 259 – 275 .
- Caldiroli , P and Musina , R . 1999 . On the existence of extremal functions for a weighted Sobolev embedding with critical exponent . Calc. Var. Partial Differ. Eqns. , 8 : 365 – 387 .
- Caldiroli , P and Musina , R . 2000 . On a variational degenerate elliptic problem . Nonlinear Differ. Eqns Appl. (NoDEA) , 7 : 187 – 199 .
- Catrina , F and Wang , Z-Q . 2001 . On the Caffarelli–Kohn–Nirenberg inequalities: Sharp constants, existence (and nonexistence) and symmetry of extremal function . Commun. Pure Appl. Math. , 54 : 229 – 258 .
- Wang , Z-Q and Willem , M . 2000 . Singular minimization problems . J. Differ. Eqns , 161 : 307 – 320 .
- Calzolari , E , Filippucci , R and Pucci , P . 2006 . Existence of radial solutions for the p-Laplacian elliptic equations with weights . Discrete Contin. Dyn. Syst. , 15 : 447 – 479 .
- Pucci , P , Garcìa-Huidobro , M , Manàsevich , R and Serrin , J . 2006 . Qualitative properties of ground states for singular elliptic equations with weights . Ann. Mat. Pura Appl. , 185 : 205 – 243 .
- Gilbarg , D and Trudinger , NS . 1998 . Elliptic Partial Differential Equations of Second Order , Berlin : Springer .
- Adams , R . 1975 . Sobolev Spaces , New York : Academic Press .
- Adams , DR and Hedberg , LI . 1996 . “ Function Spaces and Potential Theory ” . In Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] , Vol. 314 , Berlin : Springer-Verlag .
- Clément , Ph , de Pagter , B , Sweers , G and de Thélin , F . 2004 . Existence of solutions to a semilinear elliptic system through Orlicz–Sobolev spaces . Mediterr. J. Math. , 1 : 241 – 267 .
- Willem , M . 2003 . Analyse Fonctionnelle Elémentaire Cassini, Paris
- Rao , MM and Ren , ZD . 1991 . Theory of Orlicz Spaces , New York : Marcel Dekker .
- Clément , Ph , García-Huidobro , M , Manásevich , R and Schmitt , K . 2000 . Mountain pass type solutions for quasilinear elliptic equations . Calc. Var. , 11 : 33 – 62 .
- García-Huidobro , M , Le , VK , Manásevich , R and Schmitt , K . 1999 . On principal eigenvalues for quasilinear elliptic differential operators: An Orlicz–Sobolev space setting . Nonlinear Differ. Eqns Appl. (NoDEA) , 6 : 207 – 225 .
- Gossez , JP . 1974 . Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients . Trans. Am. Math. Soc. , 190 : 163 – 205 .
- Mihăilescu , M and Rădulescu , V . 2008 . Neumann problems associated to nonhomogeneous differential operators in Orlicz–Sobolev spaces . Ann. Inst. Fourier , 58 : 2087 – 2111 .
- Fukagai , N , Ito , M and Narukawa , K . 2006 . Positive solutions of quasilinear elliptic equations with critical Orlicz–Sobolev nonlinearity on ℝ N . Funkcialaj Ekvacioj , 49 : 235 – 267 .
- Mihăilescu , M and Rădulescu , V . 2008 . Eigenvalue problems associated to nonhomogeneous differential operators in Orlicz–Sobolev spaces . Anal. Appl. , 6 : 1 – 16 .
- Struwe , M . 1996 . Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems , Heidelberg : Springer .