SERGIO
SEGURA DE LEON
CATEDRÁTICO/A DE UNIVERSIDAD
Publicaciones (70) Publicaciones de SERGIO SEGURA DE LEON
2024
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Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 154, Núm. 1, pp. 105-130
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Higher Robin eigenvalues for the p-Laplacian operator as p approaches 1
Calculus of Variations and Partial Differential Equations, Vol. 63, Núm. 7
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear Analysis, Vol. 13, Núm. 1
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The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation
Nonlinear Differential Equations and Applications, Vol. 31, Núm. 4
2023
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Existence of solutions to a 1-Laplacian problem with a concave-convex nonlinearity
Journal of Mathematical Analysis and Applications, Vol. 525, Núm. 2
2022
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1D logistic reaction and p-Laplacian diffusion as p goes to one
Ricerche di Matematica, Vol. 71, Núm. 2, pp. 529-547
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Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 116, Núm. 4
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Gelfand-type problems involving the 1-Laplacian operator
Publicacions matematiques, Vol. 66, Núm. 1, pp. 269-304
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p–Laplacian diffusion coupled to logistic reaction: asymptotic behavior as p goes to 1: To the memory of Professor Ireneo Peral Alonso, a brilliant mathematician, excellent person and dear friend
Annali di Matematica Pura ed Applicata, Vol. 201, Núm. 5, pp. 2197-2240
2021
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A singular elliptic equation and a related functional
ESAIM - Control, Optimisation and Calculus of Variations, Vol. 27
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A singular elliptic equation and the minimization of a related functional
Proceedings of the 7th Workshop in Mathematical Analysis in Alicante 2020
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Anisotropic 1-Laplacian problems with unbounded weights
Nonlinear Differential Equations and Applications, Vol. 28, Núm. 6
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Asymptotic aspects of the logistic equation under diffusion
Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones, XVI Congreso de Matemática Aplicada: Gijón (Asturias), Spain, June 14-18, 2021
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Parabolic equations with natural growth approximated by nonlocal equations
Communications in Contemporary Mathematics, Vol. 23, Núm. 1
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Regularizing effects concerning elliptic equations with a superlinear gradient term
Revista matemática complutense, Vol. 34, Núm. 2, pp. 297-356
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The Dirichlet problem for the 1-Laplacian with a general singular term and L1-data
Nonlinearity, Vol. 34, Núm. 3, pp. 1791-1816
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The limit as p → 1 of the higher eigenvalues of the p-laplacian operator -δp
Indiana University Mathematics Journal, Vol. 70, Núm. 4, pp. 1395-1439
2020
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The convective eigenvalues of the one–dimensional p–Laplacian as p → 1
Journal of Mathematical Analysis and Applications, Vol. 484, Núm. 1
2019
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Bounded solutions to the 1-Laplacian equation with a total variation term
Ricerche di Matematica, Vol. 68, Núm. 2, pp. 597-614
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Elliptic problems involving the 1–Laplacian and a singular lower order term
Journal of the London Mathematical Society, Vol. 99, Núm. 2, pp. 349-376