Elliptic complexes in the calculus of variations
Flavia Giannetti
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Flavia Giannetti
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Devdariani, G. (2000)
Bulletin of TICMI
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Cyril Imbert, Luis Silvestre (2016)
Journal of the European Mathematical Society
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We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the Hölder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions.
Giovanni Anello (2005)
Annales Polonici Mathematici
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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
Joseph H. Silverman (2012)
Acta Arithmetica
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Žubrinić, Darko (2000)
Abstract and Applied Analysis
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R. A. Hager, J. Ross (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mario Zuluaga Uribe (2001)
Archivum Mathematicum
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In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.