Some existence results for a local-nonlocal systems with combined critical Sobolev terms
Resumen:
In this paper, we study the existence and multiplicity of nontrivial solutions to a local-nonlocal system involving combined critical nonlinearities. Our results are obtained by decomposing the Nehari manifold and applying the mountain pass theorem of Ambrosetti and Rabinowitz.
| 2026 | |
| Agencia Nacional de Investigación e Innovación | |
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Local-nonlocal system Multiplicity of nontrivial solutions Ciencias Naturales y Exactas Matemáticas |
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| Inglés | |
| Agencia Nacional de Investigación e Innovación | |
| REDI | |
| https://hdl.handle.net/20.500.12381/5577 | |
| Acceso abierto | |
| Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-ND) |
| Sumario: | In this paper, we study the existence and multiplicity of nontrivial solutions to a local-nonlocal system involving combined critical nonlinearities. Our results are obtained by decomposing the Nehari manifold and applying the mountain pass theorem of Ambrosetti and Rabinowitz. |
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