Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation
Resumen:
In this paper, we investigate a mixed elliptic equation involving both local and nonlocal Laplacian operators, with a power-type nonlinearity. Specifically, we consider a Lane-Emden type equation of the form −Δu+(−Δ)su=up, in Rn. where the operator combines the classical Laplacian and the fractional Laplacian. We establish the existence of solutions for exponents slightly below the critical local Sobolev exponent, that is, for p
| 2026 | |
| Agencia Nacional de Investigación e Innovación | |
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Lane-Emden type equation Local and nonlocal operator Ciencias Naturales y Exactas Matemáticas |
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| Inglés | |
| Agencia Nacional de Investigación e Innovación | |
| REDI | |
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https://hdl.handle.net/20.500.12381/5575
https://doi.org/10.48550/arXiv.2507.12258 |
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| Acceso abierto | |
| Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-ND) |
