Publication Cover
Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 1
210
Views
3
CrossRef citations to date
0
Altmetric
Articles

Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction

, ORCID Icon & ORCID Icon
Pages 191-205 | Received 08 Jan 2019, Accepted 04 Mar 2019, Published online: 26 Mar 2019

References

  • Fuchs M, Li G. Variational inequalities for energy functionals with nonstandard growth conditions. Abstr Appl Anal. 1998;3:41–64. doi: 10.1155/S1085337598000438
  • Gasiński L, Papageorgiou NS. Nonlinear analysis. Boca Raton (FL): Chapman and Hall/CRC Press; 2006. (Ser. Math. Anal. Appl.; 9).
  • Gasiński L, Papageorgiou NS. Existence and multiplicity of solutions for Neumann p-Laplacian-type equations. Adv Nonlinear Stud. 2008;8:843–870. doi: 10.1515/ans-2008-0411
  • Gasiński L, Papageorgiou NS. Exercises in analysis part 2: nonlinear analysis. Cham, Switzerland: Springer International; 2016.
  • Gasiński L, Papageorgiou NS. Positive solutions for the Robin p-Laplacian problem with competing nonlinearities. Adv Calc Var. 2019;12:31–56. doi.org/10.1515/acv-2016-0039
  • Guarnotta M, Marano SA, Papageorgiou NS. Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction. Rend Lincei Mat Appl, to appear. arXiv:1808.07622v1 [math.AP].
  • Hu S, Papageorgiou NS. Handbook of multivalued analysis. Vol. I. theory. Dordrecht: Kluwer Academic; 1997. (Mathematics and its applications; 419).
  • Lieberman G. The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva for elliptic equations. Comm Partial Differ Equ. 1991;16:311–361. doi: 10.1080/03605309108820761
  • Marano S, Mosconi SJN. Some recent results on the Dirichlet problem for (p,q)-Laplace equations. Discrete Contin Dyn Syst - Ser S. 2018;11:279–291.
  • Mugnai D, Papageorgiou NS. Resonant nonlinear Neumann problems with indefinite weight. Ann Sc Norm Super Pisa Cl Sci.. 2012;XI(5):729–788.
  • Papageorgiou NS, Rǎdulescu VD. Coercive and noncoercive nonlinear Neumann problems with indefinite potential. Forum Math. 2016;28:545–571. doi: 10.1515/forum-2014-0094
  • Papageorgiou NS, Rǎdulescu VD. Multiple solutions with precise sign for parametric Robin problems. J Differ Equ.. 2014;256:2449–2479. doi: 10.1016/j.jde.2014.01.010
  • Papageorgiou NS, Rǎdulescu VD. Nonlinear nonhomogeneous Robin problems with superlinear reaction. Adv Nonlinear Stud. 2016;16:737–764.
  • Papageorgiou NS, Rǎdulescu VD, Repovš D. Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential. Discrete Contin Dyn Syst – Ser A. 2017;37:2589–2618. doi: 10.3934/dcds.2017111
  • Papageorgiou NS, Rǎdulescu VD, Repovš D. Nodal solutions for nonlinear nonhomogeneous Robin problems. Rend Lincei Mat Appl. 2018;29:721–738.
  • Papageorgiou NS, Rǎdulescu VD, Repovš D. Methods of nonlinear analysis and boundary value problems. Berlin: Springer; 2019.
  • Papageorgiou NS, Winkert P. Nonlinear Robin problems with reaction of arbitrary growth. Ann Mat Pura Appl. 2016;195:1207–1235. doi: 10.1007/s10231-015-0512-0
  • Pucci P, Serrin J. The maximum principle. Basel: Birkhäuser; 2007.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.