Nonlinear Robin problems with a reaction of arbitrary growth

作者：Papageorgiou Nikolaos S; Winkert Patrick^*

来源：Annali di Matematica Pura ed Applicata, 2016, 195(4): 1207-1235.

DOI：10.1007/s10231-015-0512-0

• Constant sign and nodal solutions
• Reaction with zeros
• Nonlinear regularity
• Nonlinear maximum principle
• Superlinear near zero
• Critical groups

We consider Robin problems driven by a nonhomogeneous differential operator involving a reaction that has zeros and no global growth restriction. Using variational methods together with truncation and perturbation techniques as well as Morse theory, we prove multiplicity theorems with precise sign information for all the solutions.

• 出版日期2016-8