Viscosity solutions of elliptic partial differential equations.
Jensen, Robert R. (1998)
Documenta Mathematica
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Jensen, Robert R. (1998)
Documenta Mathematica
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Devdariani, G. (2000)
Bulletin of TICMI
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Jani Onninen, Xiao Zhong (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider the simplest form of a second order, linear, degenerate, elliptic equation with divergence structure in the plane. Under an integrability condition on the degenerate function, we prove that the solutions are continuous.
K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Albo Carlos Cavalheiro (2018)
Commentationes Mathematicae Universitatis Carolinae
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The main result establishes that a weak solution of degenerate quasilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate quasilinear elliptic equations.
Joseph H. Silverman (2012)
Acta Arithmetica
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Michael Wiegner (1981)
Mathematische Zeitschrift
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Michael Struwe (1981)
Manuscripta mathematica
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L. Nirenberg (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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B. Szafirski (1967)
Colloquium Mathematicae
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Michael Meier (1981)
Mathematische Zeitschrift
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Grzegorz Łysik, Paweł M. Wójcicki (2014)
Annales Polonici Mathematici
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We give a characterization of constant coefficients elliptic operators in terms of estimates of their iterations on smooth functions.