This issue of Discrete and Continuous Dynamical Systems-Series S focuses onthe qualitative analysis of some concrete nonlinear problems, e.g., ordinary, partialdifferential equations, systems and inclusions. The ten contributions collected heregive an overview on some very recent results on the existence, multiplicity andsign information of the solutions of a wide range of nonlinear differential problemsinvolving different boundary value conditions and operators in divergence form. Inour opinion, the synergy pointed out here between the classical nonlinear analysismethods, like the critical point theory, sub-super solutions methods, truncationand comparison techniques, Morse theory, set-valued analysis and so on, couldrepresent a stimulating reason for reflection for all those researchers – pure or appliedmathematicians, upper-level graduate students – who are interested in finding newperspectives of investigations on this field of research.The present volume is related to the topics of the Special Session 92: Variational,Topological and Set-Valued Methods for Nonlinear Problems, organized, togetherwith Professor S. A. Marano, on the occasion of the last 11th AIMS Conference inOrlando, that we like to consider as a natural continuation of the special sessionsheld in the previous editions of AIMS Conferences, since 2010, by some of theauthors involved in this project, as G. Bonanno, S. Carl and D. Motreanu.We wish to thank all the Colleagues who contributed to the realization of thisissue of the DCDS-S and we acknowledge the important support of the past organizersto accomplish successfully this project. In particular, we wish to thank Prof.S. A. Marano and Prof. N. S. Papageorgiou to encourage us to realize this volume.Many thanks also to the AIMS, in the persons of Prof. Shouchuan Hu, for hiswork as member of the Scientific Commette of the AIMS Conferences, and of Prof.Alain Miranville, for his patience in assisting us during the editing process.
|Number of pages||1|
|Journal||DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S|
|Publication status||Published - 2018|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics