Existence and multiplicity of solutions for double‐phase Robin problems
By Nikolaos S. Papageorgiou, V. Ruadulescu, Dušan D. Repovš. Bulletin of the London Mathematical Society, 2020
68 citations recorded by the source corpus.
We consider a double phase Robin problem with a Carathéodory 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.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/eefd3480647655e67cccca578fe8b72c2547de34
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Patrick Winkert
- Nikolaos S. Papageorgiou
- Leszek Gasinski
- Wulong Liu
- Guowei Dai
- Ky Ho
- Vicentiu D. Rădulescu
- Csaba Farkas
In Computational Theory and Mathematics
- Patrick Winkert
- Nikolaos S. Papageorgiou
- Leszek Gasinski
- Wulong Liu
- Guowei Dai
- Vicentiu D. Rădulescu
- Ky Ho
- Csaba Farkas
Citations in the corpus
- Existence of solutions for singular double phase problems via the Nehari manifold method (2021, background): “Finally, existence results for double phase problems with homogeneous Dirichlet or nonlinear Neumann boundary conditions without singular term can be found in the papers of Colasuonno-Squassina [9], El Manouni-Marino-Winkert [13], GasińskiPapageorgiou [15], Gasiński-Winkert [16, 17, 18], Liu-Dai [22”