Free Access
Issue |
ESAIM: COCV
Volume 10, Number 4, October 2004
|
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Page(s) | 677 - 691 | |
DOI | https://doi.org/10.1051/cocv:2004027 | |
Published online | 15 October 2004 |
- R. Adams, Sobolev spaces. Academic Press, New York (1975). [Google Scholar]
- A. Ambrosetti and P. Rabinowitz, Dual variational methods in critical point theory and applications. J. Funct. Anal. 14 (1973) 349-381. [CrossRef] [Google Scholar]
- K.C. Chang, Variational methods for nondifferentiable functionals and their applications to partial differential equations. J. Math. Anal. Appl. 80 (1981) 102-129. [CrossRef] [MathSciNet] [Google Scholar]
- F.H. Clarke, Optimization and nonsmooth analysis. SIAM, Philadelphia (1990). [Google Scholar]
- P. Clément, M. García-Huidobro, R. Manásevich and K. Schmitt, Mountain pass type solutions for quasilinear elliptic equations. Calc. Var. 11 (2000) 33-62. [CrossRef] [MathSciNet] [Google Scholar]
- T. Donaldson, Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces. J. Diff. Equations 10 (1971) 507-528. [CrossRef] [Google Scholar]
- T. Donaldson and N. Trudinger, Orlicz-Sobolev spaces and imbedding theorems. J. Funct. Anal. 8 (1971) 52-75. [CrossRef] [Google Scholar]
- M. García-Huidobro, V.K. Le, R. Manásevich and K. Schmitt, On principal eigenvalues for quasilinear elliptic differential operators: An Orlicz-Sobolev space setting. Nonlinear Diff. Eq. Appl. 6 (1999) 207-225. [CrossRef] [Google Scholar]
- J.P. Gossez, Nonlinear elliptic boundary value problems for equations with rapidly or slowly increasing coefficients. Trans. Amer. Math. Soc. 190 (1974) 163-205. [CrossRef] [MathSciNet] [Google Scholar]
- J.P. Gossez and R. Manásevich, On a nonlinear eigenvalue problem in Orlicz-Sobolev spaces. Proc. Roy. Soc. Edinb. A 132 (2002) 891-909. [CrossRef] [Google Scholar]
- J.P. Gossez and V. Mustonen, Variational inequalities in Orlicz-Sobolev spaces. Nonlinear Anal. 11 (1987) 379-392. [CrossRef] [MathSciNet] [Google Scholar]
- L. Jeanjean, On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on . Proc. Roy. Soc. Edinb. A 129 (1999) 787-809. [Google Scholar]
- L. Jeanjean and J.F. Toland, Bounded Palais-Smale mountain-pass sequences. C.R. Acad. Sci. Paris Ser. I Math. 327 (1998) 23-28. [CrossRef] [MathSciNet] [Google Scholar]
- N.C. Kourogenis and N.S. Papageorgiou, Nonsmooth critical point theory and nonlinear elliptic equations at resonance. J. Austral. Math. Soc. (Ser. A) 69 (2000) 245-271. [CrossRef] [MathSciNet] [Google Scholar]
- M.A. Krasnosels'kii and J. Rutic'kii, Convex functions and Orlicz spaces. Noorhoff, Groningen (1961). [Google Scholar]
- A. Kufner, O. John and S. Fučic, Function spaces. Noordhoff, Leyden (1977). [Google Scholar]
- V.K. Le, A global bifurcation result for quasilinear eliptic equations in Orlicz-Sobolev space. Topol. Methods Nonlinear Anal. 15 (2000) 301-327. [MathSciNet] [Google Scholar]
- V.K. Le, Nontrivial solutions of mountain pass type of quasilinear equations with slowly growing principal parts. J. Diff. Int. Eq. 15 (2002) 839-862. [Google Scholar]
- V.K. Le and K. Schmitt, Quasilinear elliptic equations and inequalities with rapidly growing coefficients. J. London Math. Soc. 62 (2000) 852-872. [CrossRef] [MathSciNet] [Google Scholar]
- V. Mustonen and M. Tienari, An eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces. Proc. Roy. Soc. Edinb. A 129 (1999) 153-163. [Google Scholar]
- V. Mustonen, Remarks on inhomogeneous elliptic eigenvalue problems. Part. Differ. Equ. Lect. Notes Pure Appl. Math. 229 (2002) 259-265. [Google Scholar]
- Z. Naniewicz and P.D. Panagiotopoulos, Mathematical theory of hemivariational inequalities and applications. Marcel Dekker, New York (1995). [Google Scholar]
- P. Rabinowitz, Some aspects of nonlinear eigenvalue problems. Rocky Mountain J. Math. 3 (1973) 162-202. [Google Scholar]
- M. Struwe, Existence of periodic solutions of Hamiltonian systems on almost every energy surface. Bol. Soc. Brasil Mat. 20 (1990) 49-58. [CrossRef] [MathSciNet] [Google Scholar]
- M. Struwe, Variational methods. 2nd ed., Springer, Berlin (1991). [Google Scholar]
- M. Tienari, Ljusternik-Schnirelmann theorem for the generalized Laplacian. J. Differ. Equations 161 (2000) 174-190. [CrossRef] [Google Scholar]
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