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Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

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Abstract
We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. Using variational methods, together with truncation and perturbation techniques and critical groups, we produce three nontrivial solutions with sign information. In the semilinear case we improve this result by obtaining a second nodal solution for a total of four nontrivial solutions. Finally, under a symmetry condition on the reaction term, we generate a whole sequence of distinct nodal solutions.

Language:English
Keywords:nonhomogeneous differential operator, nonlinear regularity theory, constant sign and nodal solutions, infinitely many nodal solutions, critical groups
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2020
Number of pages:str. 823-857
Numbering:Vol. 81, iss. 3
UDC:517.956.2
ISSN on article:0095-4616
DOI:10.1007/s00245-018-9521-x Link is opened in a new window
COBISS.SI-ID:18436441 Link is opened in a new window
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Downloads:119
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Record is a part of a journal

Title:Applied mathematics and optimization
Shortened title:Appl. math. optim.
Publisher:Springer.
ISSN:0095-4616
COBISS.SI-ID:24984064 This link opens in a new window

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