On fully nonlinear elliptic equations of second order
L. Nirenberg (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “New a priori estimates for -nonlinear elliptic systems with strong nonlinearities in the gradient, .”
On fully nonlinear elliptic equations of second order
Fully nonlinear second order elliptic equations : recent development
Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations
Edward N. Dancer, Shusen Yan (2007)
Bollettino dell'Unione Matematica Italiana
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We show how a change of variable and peak solution methods can be used to prove that a number of nonlinear elliptic partial differential equations have many solutions.
Existence and nonexistence of classical solutions of the Dirichlet problem for a class of fully nonlinear nonuniformly elliptic equations
N. Kutev (1987)
Banach Center Publications
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𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
I. Birindelli, F. Demengel (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.
Liouville Theorems for Nonlinear Elliptic Equations and Systems.
Michael Meier (1979)
Manuscripta mathematica
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On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
Michal Křížek, Liping Liu (1996)
Applicationes Mathematicae
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A nonlinear elliptic partial differential equation with the Newton boundary conditions is examined. We prove that for greater data we get a greater weak solution. This is the so-called comparison principle. It is applied to a steady-state heat conduction problem in anisotropic magnetic cores of large transformers.
Counter-Examples to Boundary Estimates for Two-Dimensional Elliptic Systems.
Michael Meier (1983)
Manuscripta mathematica
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Fully nonlinear second order elliptic equations with large zeroth order coefficient
L. C. Evans, Pierre-Louis Lions (1981)
Annales de l'institut Fourier
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We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an estimate asserting that the -norm of the solution cannot lie in a certain interval of the positive real axis.
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.