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Start Over Subject a priori bound

1. Existence of global solutions to differential inclusions; a priori bounds

Creator:
Cârjă, Ovidiu and Lazu, Alina Ilinca
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
differential inclusion, global solution, and a priori bound
Language:
English
Description:
The paper presents an existence result for global solutions to the finite dimensional differential inclusion y ′ ∈ F(y), F being defined on a closed set K. A priori bounds for such solutions are provided.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. On some Lp-estimates for solutions of elliptic equations in unbounded domains

Creator:
Monsurrò, Sara and Transirico, Maria
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
elliptic equation, discontinuous coefficient, and a priori bound
Language:
English
Description:
In this review article we present an overview on some a priori estimates in L p , p > 1, recently obtained in the framework of the study of a certain kind of Dirichlet problem in unbounded domains. More precisely, we consider a linear uniformly elliptic second order differential operator in divergence form with bounded leading coeffcients and with lower order terms coefficients belonging to certain Morrey type spaces. Under suitable assumptions on the data, we first show two L p -bounds, p > 2, for the solution of the associated Dirichlet problem, obtained in correspondence with two different sign assumptions. Then, putting together the above mentioned bounds and using a duality argument, we extend the estimate also to the case 1 < p < 2, for each sign assumption, and for a data in L p ∩ L 2 .
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public