@article{RSMUP_2002__107__9_0, author = {Fiacca, Antonella and Matzakos, Nikolaos and Papageorgiou, Nikolaos S.}, title = {On nonlinear elliptic problems with discontinuities}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {9--33}, publisher = {Seminario Matematico of the University of Padua}, volume = {107}, year = {2002}, mrnumber = {1926198}, zbl = {1072.35072}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2002__107__9_0/} }
TY - JOUR AU - Fiacca, Antonella AU - Matzakos, Nikolaos AU - Papageorgiou, Nikolaos S. TI - On nonlinear elliptic problems with discontinuities JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2002 SP - 9 EP - 33 VL - 107 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2002__107__9_0/ LA - en ID - RSMUP_2002__107__9_0 ER -
%0 Journal Article %A Fiacca, Antonella %A Matzakos, Nikolaos %A Papageorgiou, Nikolaos S. %T On nonlinear elliptic problems with discontinuities %J Rendiconti del Seminario Matematico della Università di Padova %D 2002 %P 9-33 %V 107 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2002__107__9_0/ %G en %F RSMUP_2002__107__9_0
Fiacca, Antonella; Matzakos, Nikolaos; Papageorgiou, Nikolaos S. On nonlinear elliptic problems with discontinuities. Rendiconti del Seminario Matematico della Università di Padova, Tome 107 (2002), pp. 9-33. http://www.numdam.org/item/RSMUP_2002__107__9_0/
[1] Sobolev Spaces, Academic Press, New York (1975). | MR | Zbl
,[2] The dual variational principle and elliptic problems with discontinuities, J. Math. Anal. Appl, 140 (1989), pp. 363-373. | MR | Zbl
- ,[3] Etude des Valeurs Propres et de la Resonance pour l'Operateur p-Laplacien, Ph. D. Thesis, Universite Libre de Bruxelles (1988).
,[4] Stongly nonlinear elliptic problems near resonance: A variational approch, Comm. Partial Diff. Equations, 15 (1990), pp. 1141-1159. | MR | Zbl
- ,[5] On the second eigenvalue of the p-Laplacian, in Nonlinear Partial Differential Equations, eds. A. Benkirane - J.-P. Gossez, Pitman Research Notes in Math, Vol. 343, Longman, Harlow, UK (1996), pp. 1-9. | MR | Zbl
- ,[6] Some discontinuous problems with a quasilinear operator, J. Math. Anal. Appl, 187 (1994), pp. 1052-1072. | MR | Zbl
- ,[7] A generalization of Fredholm alternative for nonilinear differential operatos, Nonlin. Anal., 10 (1986), pp. 1083-1103. | MR | Zbl
- - - ,[8] The weak upper and lower solution methods for quasilinear elliptic equations with generalized subdifferentiable petrubations, Appl. Anal., 56 (1995), pp. 263-278. | MR | Zbl
- ,[9] Variational methods for nondifferentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl., 80 (1981), pp. 102-129. | MR | Zbl
,[10] Existence results for perturbations of the p-Laplacian, Nonlin. Anal., 24 (1995), pp. 409-418. | MR | Zbl
- ,[11] A note on a nonresonance condition for a quasilinear elliptic problem, Nonlin. Anal, 22 (1994), pp. 229-234. | MR | Zbl
- ,[12] Maximum and comparison principles for operators involving the p-Laplacian, J. Math. Appl., 218 (1998), pp. 49-65. | MR | Zbl
- ,[13] Elliptic Partial Equations of Second Order, Springer Verlag, New York (2nd edition) (1983).
- ,[14] Handbook of Multivalued Analysis. Volume I: Theory, Kluwer, Dordrecht, The Netherlands (1997). | MR | Zbl
- ,[15] Handbook of Multivalued Analysis. Volume II: Applications, Kluwer, Dordrecht, The Netherlands (2000). | MR | Zbl
- ,[16] Linear and Quasilinear Elliptic Equations, Academic Press, New York (1968). | MR | Zbl
- ,[17] Nonlinear petrubations of linear elliptic boundary value problems at resonance, J. Math. Mech, 19 (1970), pp. 609-623. | MR | Zbl
- ,[18] Multiple solutions of semilinear elliptic problems at resonance, Nonlin. Anal., 24 (1995), pp. 1049-1059. | MR | Zbl
- - ,[19] Boundary regularity for solutions of degenerate elliptic equations, Nonlin Anal., 12 (1988), pp. 1203-1219. | MR | Zbl
,[20] On the equation div (NDxNp22 Dx)1lNxNp22 x40, Proc. AMS, 109 (1991), pp. 157-164. | MR | Zbl
,[21] Discontinuous semilinear differential equations and multiple valued maps, Proc. AMS, 64 (1977), pp. 277-282. | MR | Zbl
,[22] A general approach to semilinear elliptic boundary value problems at resonance, Diff. and Inegral Eqns-to appear. | Zbl
- ,[23] Maximal and minimal solutions of elliptic equaitons with discontinuouis nonlinearities, Math. Z., 163 (1978), pp. 238-249. | MR | Zbl
,[24] A strong maximum principle for some quasilinear elliptic equations, Applied math. Optim., 12 (1984), pp. 191-202. | MR | Zbl
,[25] Nonlinear Functional Analysis and its Applications II, Springer Verlag, New York (1990). | MR | Zbl
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