Resultats globals: 6 registres trobats en 0.02 segons.
Articles, 6 registres trobats
Articles 6 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.
78 p, 710.4 KB Fundamental matrices and green matrices for non-homogeneous elliptic systems / Davey, Blair (City College of New York-CUNY. Department of Mathematics) ; Hill, Jonathan (University of Minnesota. School of Mathematics) ; Mayboroda, Svitlana (University of Minnesota. School of Mathematics)
In this paper, we establish existence, uniqueness, and scale-invariant estimates for fundamental solutions of non-homogeneous second order elliptic systems with bounded measurable coefficients in Rn and for the corresponding Green functions in arbitrary open sets. [...]
2018 - 10.5565/PUBLMAT6221807
Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 537-614 (Articles)  
3.
50 p, 812.9 KB Weighted Lp estimates of Kato square roots associated to degenerate elliptic operators / Yang, Dachun (Beijing Normal University. School of Mathematical Sciences) ; Zhang, Junqiang (Beijing Normal University. School of Mathematical Sciences)
Let w be a Muckenhoupt A2(Rn) weight and Lw := −w−1 div(A∇) the degenerate elliptic operator on the Euclidean space Rn, n ≥ 2. In this article, the authors establish some weighted Lp estimates of Kato square roots associated to the degenerate elliptic operators Lw. [...]
2017 - 10.5565/PUBLMAT6121704
Publicacions matemàtiques, Vol. 61 Núm. 2 (2017) , p. 395-444 (Articles)  
4.
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  
5.
40 p, 299.0 KB Energy inequalities for a model of wave propagation in cold plasma / Otway, T. H. (Yeshiva University (Estats Units d'Amèrica). Department of Mathematics)
Energy inequalities are derived for an elliptic-hyperbolic operator arising in plasma physics. These inequalities imply the existence of distribution and weak solutions to various closed boundary-value problems. [...]
2008 - 10.5565/PUBLMAT_52108_10
Publicacions matemàtiques, V. 52 n. 1 (2008) p. 195-234  
6.
19 p, 172.0 KB Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms / Ifra, Abdoul ; Riahi, Lotfi
In this paper, we prove the existence and uniqueness of the continuous Green function G for the elliptic operator L = div(A(x)∇x)+B(x)·∇x with singular drift term B on a C1,1 bounded domain D in Rn, n ≥ 3, and its comparability to the Green function G0 of L0 = div(A(x)∇x). [...]
2005 - 10.5565/PUBLMAT_49105_07
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 159-177  

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