Local properties of solutions of elliptic partial differential equations
A. Calderón, A. Zygmund (1961)
Studia Mathematica
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Displaying similar documents to “Local and global integrability of gradients in obstacle problems.”
Local properties of solutions of elliptic partial differential equations
Nontrivial solutions for a class of superquadratic elliptic equations
Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)
Studia Mathematica
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Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
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.
On a linear second order degenerate elliptic equation.
Devdariani, G. (2000)
Bulletin of TICMI
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The degenerate Venttsel' problem for elliptic equations.
Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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The Robbins problem for elliptic equations in space
K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Continuity of solutions of linear, degenerate elliptic equations
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.
An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations
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.
Elliptic complexes in the calculus of variations
Flavia Giannetti
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Elliptic Carmichael numbers and elliptic Korselt criteria
Joseph H. Silverman (2012)
Acta Arithmetica
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Estimates on elliptic equations that hold only where the gradient is large
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.
An approximation theorem for solutions of degenerate semilinear elliptic equations
Albo Carlos Cavalheiro (2017)
Communications in Mathematics
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The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
On the Green's function for second order elliptic differential equations
B. Szafirski (1967)
Colloquium Mathematicae
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Local units, elliptic units, Heegner points and elliptic curves.
K. Rubin (1987)
Inventiones mathematicae
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Global C...-regularity for second order quasilinear elliptic euqations in divergence form.
M. Giaquinta, E. Giusti (1984)
Journal für die reine und angewandte Mathematik
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