Resultats globals: 3 registres trobats en 0.02 segons.
Articles, 3 registres trobats
Articles 3 registres trobats  
1.
36 p, 523.1 KB Gelfand-type problems involving the 1-Laplacian operator / Molino, Alexis (Universidad de Almería. Departamento de Matemáticas.) ; Segura de León, Sergio (Universitat de València. Departament d'Anàlisi Matemàtica)
In this paper, the theory of Gelfand problems is adapted to the 1-Laplacian setting. Concretely, we deal with the following problem: −∆1u = λf(u) in Ω,u = 0 on ∂Ω, where Ω ⊂ RN (N ≥ 1) is a domain, λ ≥ 0, and f : [0, +∞[ → ]0, +∞[ is any continuous increasing and unbounded function with f(0) > 0. [...]
2022 - 10.5565/PUBLMAT6612211
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 269-304 (Articles)  
2.
35 p, 299.4 KB On the behaviour of the solutions to p-Laplacian equations as p goes to 1 / Mercaldo, A. (Università degli Studi di Napoli "Federico II". Dipartimento di Matematica e Applicazioni "R. Caccioppoli") ; Segura de León, S. (Universitat de València. Departament d'Anàlisi Matemàtica) ; Trombetti, C. (Università degli Studi di Napoli "Federico II". Dipartimento di Matematica e Applicazioni "R. Caccioppoli")
In the present paper we study the behaviour as p goes to 1 of the weak solutions to the problems 8 <− div p −2 ∇up = f in Ω : up = 0 on ∂Ω, where Ω is a bounded open set of RN (N ≥ 2) with Lipschitz boundary and p > 1. [...]
2008 - 10.5565/PUBLMAT_52208_07
Publicacions matemàtiques, V. 52 n. 2 (2008) p. 377-411  
3.
19 p, 185.0 KB Regularity for entropy solutions of parabolic p-Laplacian type equations / Segura de León, S. ; Toledo Melero, José Julián
In this note we give some summability results for entropy solutions of the nonlinear parabolic equation ut - div ap(x, [del] u)= f in ]0,T[x [omega] with initial datum in L 1 ([omega]) and assuming Dirichlet's boundary condition, where ap(. [...]
1999 - 10.5565/PUBLMAT_43299_08
Publicacions matemàtiques, V. 43 N. 2 (1999) , p. 665-683  

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