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2014-01
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info:eu-repo/semantics/openAccess
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World Scientific Publishing
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Resumen
By using linking and ∇-theorems in this paper we prove the existence of multiple solutions for the following nonlocal problem with mixed Dirichlet–Neumann boundary data, (Formular Presented) where (−Δ)s, s ∈ (1/2, 1), is the spectral fractional Laplacian operator, Ω ⊂ RN, N > 2s, is a smooth bounded domain, λ > 0 is a real parameter, ν is the outward normal to ∂Ω, ΣD, ΣN are smooth (N − 1)-dimensional submanifolds of ∂Ω such that ΣD ∪ ΣN = ∂Ω, ΣD ∩ ΣN = ∅ and ΣD ∩ ΣN = Γ is a smooth (N − 2)-dimensional submanifold of ∂Ω.
Descripción
Esta es la versión aceptada para su publicación en Bulletin of Mathematical Sciences 14, no. 1, 2350011 (2024). La versión final publicada está disponible en World Scientific Publishing, https://doi.org/10.1142/S166436072350011X.
This is the accepted version for publication in Bulletin of Mathematical Sciences 14, no. 1, 2350011 (2024). The final published version is available from World Scientific Publishing, https://doi.org/10.1142/S166436072350011X.
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Palabras clave
Fractional Laplacian, variational methods, ∇ -theorems, mixed boundary data, superlinear and subcritical nonlinearities
Citación
Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi. “Subcritical nonlocal problems with mixed boundary conditions”. Bull. Math. Sci. 14, no. 1, 2350011 (2024) https://doi.org/10.1142/S166436072350011X
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Facultad de Ciencias
Departamento
Matemáticas Fundamentales