Necessary conditions of existence for an elliptic equation with source term and measure data involving -Laplacian.
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Bidaut-Véron, Marie-Françoise (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Berenstein, Carlos A., Gavilánez, Franklin (2007)
Revista Colombiana de Matemáticas
Ezzinbi, Khalil, Jazar, Mustapha (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Saïd Abbas, Wafaa A. Albarakati, Mouffak Benchohra, Mohamed Abdalla Darwish, Eman M. Hilal (2015)
Annales Polonici Mathematici
We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
Enrico Priola, Lorenzo Zambotti (2000)
Bollettino dell'Unione Matematica Italiana
In questo articolo si ottengono stime di Schauder di tipo nuovo per equazioni ellittiche infinito-dimensionali del secondo ordine con coefficienti Hölderiani a valori nello spazio degli operatori Hilbert-Schmidt. In particolare si mostra che la derivata seconda delle soluzioni è Hilbert-Schmidt.
Dehghan, Mehdi (2001)
Mathematical Problems in Engineering
Emanuele Schiavi, Ana Isabel Muñoz, Ultano Kindelán (2002)
RACSAM
En estas notas presentamos algunos modelos físicos que han sido propuestos recientemente para tratar el problema de los movimientos repentinos y casi periódicos del hielo, así como la aparición de corrientes de hielo rápidas en los grandes mantos glaciares que se deslizan sobre lechos blandos y deformables. Estos fenómenos están relacionados con la transición de un régimen de flujo lento a uno rápido y pueden aparecer debido a una modificación del sistema de drenaje del glaciar. Los fenómenos en...
Mark Veraar, Jan Zimmerschied (2008)
Studia Mathematica
We study the non-autonomous stochastic Cauchy problem on a real Banach space E, , t ∈ [0,T], U(0) = u₀. Here, is a cylindrical Brownian motion on a real separable Hilbert space H, are closed and densely defined operators from a constant domain (B) ⊂ H into E, denotes the generator of an evolution family on E, and u₀ ∈ E. In the first part, we study existence of weak and mild solutions by methods of van Neerven and Weis. Then we use a well-known factorisation method in the setting of evolution...
Arseni-Benou, Kate, Halidias, Nikolaos, Papageorgiou, Nikolaos S. (1999)
Journal of Applied Mathematics and Stochastic Analysis
Kuttler, Kenneth (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Howard A. Levine (1975)
Mathematische Annalen
Stanislav I Pohozaev, Alberto Tesei (2004)
Annales de l'I.H.P. Analyse non linéaire
Lorca, Sebastián (2007)
Journal of Inequalities and Applications [electronic only]
El Hamidi, Abdallah, Laptev, Gennady G. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Fausto Ferrari, Andrea Pinamonti (2013)
Analysis and Geometry in Metric Spaces
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type ★.
El Hamidi, Abdallah, Kirane, Mokhtar (2004)
Abstract and Applied Analysis
Kartsatos, A. G., Kurta, V. V. (2001)
Abstract and Applied Analysis
L. Hsiao, P. Marcati (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Jean-François Coulombel, Paolo Secchi (2008)
Annales scientifiques de l'École Normale Supérieure
We consider supersonic compressible vortex sheets for the isentropic Euler equations of gas dynamics in two space dimensions. The problem is a free boundary nonlinear hyperbolic problem with two main difficulties: the free boundary is characteristic, and the so-called Lopatinskii condition holds only in a weak sense, which yields losses of derivatives. Nevertheless, we prove the local existence of such piecewise smooth solutions to the Euler equations. Since the a priori estimates for the linearized...
Fengquan Li (2007)
Commentationes Mathematicae Universitatis Carolinae
In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., On the existence of solutions to non-linear degenerate elliptic equations with measure data, Ricerche Mat. 42 (1993), no. 2, 315–329.
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