Double-phase problems with reaction of arbitrary growth
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

.pdfPDF - Presentation file, Download (649,96 KB)
MD5: 9697D08B2A424B02FD18CCECD7A79A83

We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional has unbalanced growth and we do not impose any global growth conditions to the reaction term, whose behavior is prescribed only near the origin. Using truncation and comparison techniques and Morse theory, we show that the problem has multiple solutions in the case of high perturbations. We also show that if a symmetry condition is imposed to the reaction term, then we can generate a sequence of distinct nodal solutions with smaller and smaller energies.

Keywords:double-phase problem, nonlinear maximum principle, nonlinear regularity theory, critical point theory, critical groups
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Number of pages:str. 1-21
Numbering:art. 108, iss. 4
ISSN on article:0044-2275
DOI:10.1007/s00033-018-1001-2 This link opens in a new window
COBISS.SI-ID:18409561 This link opens in a new window
Average score:(0 votes)
Your score:Voting is allowed only to logged in users.
AddThis uses cookies that require your consent. Edit consent...

Record is a part of a journal

Title:Zeitschrift für angewandte Mathematik und Physik
Shortened title:Z. angew. Math. Phys.
Publisher:Birkhaeuser Verlag
COBISS.SI-ID:26662656 This link opens in a new window

Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:


Leave comment

You have to log in to leave a comment.

Comments (0)
0 - 0 / 0
There are no comments!