Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
Albino Canfora (1989)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Weakly sequentially continuous maps and existence principles for elliptic equations”
Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
On existence of a unique generalized solution to systems of elliptic PDEs at resonance
Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
The Probabilistic Solution of the Dirichlet Problem for Degenerate Elliptic Equations
Chuandi Liu, Hiroaki Morimoto (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We study the Dirichlet problem for degenerate elliptic equations, and show that the probabilistic solution is a unique viscosity solution.
Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains
Mikhail Borsuk (1998)
Annales Polonici Mathematici
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We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.
Fixed point theorems for weakly sequentially closed maps
Donal O'Regan (2000)
Archivum Mathematicum
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A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.
A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
Agarwal, Ravi P., O'Regan, Donal, Liu, Xinzhi (2005)
Fixed Point Theory and Applications [electronic only]
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On weakly closed functions
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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On the class of b-L-weakly and order M-weakly compact operators
Driss Lhaimer, Mohammed Moussa, Khalid Bouras (2020)
Mathematica Bohemica
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In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.