Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Maria Transirico"'
Publikováno v:
International Journal of Differential Equations, Vol 2018 (2018)
We prove some uniqueness results for the solution of two kinds of Dirichlet boundary value problems for second- and fourth-order linear elliptic differential equations with discontinuous coefficients in polyhedral angles, in weighted Sobolev spaces.
Externí odkaz:
https://doaj.org/article/31a30f54d2284bc1b95ef081c76b86ac
Autor:
Paola Cavaliere, Maria Transirico
Publikováno v:
Journal of Function Spaces and Applications, Vol 6, Iss 1, Pp 47-58 (2008)
In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable co
Externí odkaz:
https://doaj.org/article/386eba05a1f44dcd986daae98abaa476
Publikováno v:
Abstract and Applied Analysis, Vol 2016 (2016)
A potential estimate type approach is used in order to obtain some a priori bounds for the solutions of certain classes of Dirichlet problems associated with nondivergence structure elliptic equations.
Externí odkaz:
https://doaj.org/article/6ef35352c2fa4eaca7b4acaf5714c474
Publikováno v:
Abstract and Applied Analysis, Vol 2015 (2015)
We give an overview on some results concerning the unique solvability of the Dirichlet problem in W2,p, p>1, for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces. We a
Externí odkaz:
https://doaj.org/article/319a0ff998ba4a0eb920bf36a064148e
Publikováno v:
Le Matematiche, Vol 57, Iss 2, Pp 287-302 (2002)
In this paper some W^{2, p}-estimates for the solutions of the Dirichlet problem for a class of elliptic equations with discontinuous coefficients in unbounded domains are obtained. As a consequence, an existence and uniqueness theorem for such a pro
Externí odkaz:
https://doaj.org/article/e72523c7854e40aa86349cc20439ae49
Publikováno v:
Le Matematiche, Vol 54, Iss 1, Pp 139-146 (1999)
Following the stream of ideas in two recent papers ([1], [8]), one can establish a uniqueness result for the Dirichlet problem for a class of elliptic second order differential equations with discontinuous coefficients in unbounded domains of R^n , n
Externí odkaz:
https://doaj.org/article/9b6ace28869c46c391d2fe6f607ad415
Autor:
Sara Monsurrò, Maria Transirico
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem co
Externí odkaz:
https://doaj.org/article/7a1544cbfde344d8a69df500c0fd89bc
Autor:
Sara Monsurrò, Maria Transirico
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains.
Externí odkaz:
https://doaj.org/article/2babef2351724c98b04bcb0f023a2e54
Publikováno v:
International Journal of Differential Equations, Vol 2011 (2011)
We obtain some 𝑊2,2 a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighte
Externí odkaz:
https://doaj.org/article/582536c9828a4d56ac4fabd15f76a16b
Publikováno v:
Boundary Value Problems, Vol 2008 (2008)
This paper is concerned with the study of the Dirichlet problem for a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of â„Ân, n≥3. We state a regularity result and we can deduce an
Externí odkaz:
https://doaj.org/article/2b9c2b7bfbbf4dffb4a4298505e27d8a