References
- Adams RA 1975 Sobolev Spaces, Academic Press New York
- Ahmad , S . 1986 . Multiple nontrivial solutions of resonant and nonresonant asymptotically linear problems . Proc. Amer. Math. Soc. , 96 : 405 – 409 .
- Berestycki , H and Defigueiredo , DG . 1981 . Double resonance in semilinear elliptic equations . Comm. Partial Diff. Eqs. , 6 : 91–120.
- Contreras , M . 1998 . Resonance for quasilinear elliptic higher order partial differential equations at the first eigenvalue . Rocky Mountain J. Math. , 28 : 417 – 444 .
- Iannacci , R and Nkashama , MN . 1995 . Nonlinear elliptic partial differential equations at resonance: higher eigenvalues . Nonlinear Anal. , 25 : 455 – 471 .
- Kannan , R and Ortega , R . 1985 . Landesman-Lazer conditions for problem with “one-sided unbounded” nonlinearities . Nonlinear Anal. , 9 : 1313 – 1317 .
- Landesman , EM and Lazer , AC . 1970 . Nonlinear pertarbations of linear elliptic boundary value problems at resonance . J. Math. Mech. , 19 : 609 – 623 .
- Kuo , CC . 1996 . On the solvability of a nonlinear second-order elliptic equation at resonance . Proc. Amer. Math. Soc. , 125 : 83 – 87 .
- Kuo , CC . 1997 . On the solvability of a Neumann boundary value problem at resonance . Canad. Math. Bull. , 40 : 464 – 470 .
- Kuo , CC . 2000 . On the solvability of a nonlinear second-order elliptic equation at resonance II . Nonlinear Anal. , 39 : 923 – 927 .
- Necas J 1986 Introduction to the Theory of Nonlinear Elliptic Equations, Wiley-Interscience, John Wiley and Sons New York
- Pascali D Sburlan S 1978 Nonlinear Mappings of Monotone Type Romania Editura Academiei Bucuresti
- Robinson , SR and Landesman , EM . 1995 . A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance . Diff. Integral Eqs. , 8 : 1555 – 1569 .
- Rumbos , AJ and Shapiro , VL . 1997 . One-sided resonance for a Quasilinear variational problem . Contemporary Math. , 208 : 277 – 298 .
- Shapiro , VL . 1991 . Quasilinear ellipticity and the first eigenvalue . Comm. Partial Diff. Eqs , 16 : 1819 – 1855 .