Journal
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Volume 52, Issue 3, Pages 546-560Publisher
WILEY
DOI: 10.1112/blms.12347
Keywords
35J20 (primary); 35J25; 35J60 (secondary)
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, N1-0114, N1-0064, N1-0083]
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We consider a double phase Robin problem with a Caratheodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.
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