On a Method of K. Uhlenbeck for Proving Partial Regularity for Solutions of Certain Nonlinear Elliptic Systems.
Ester Giarusso (1986)
Manuscripta mathematica
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Displaying similar documents to “𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations”
On a Method of K. Uhlenbeck for Proving Partial Regularity for Solutions of Certain Nonlinear Elliptic Systems.
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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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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Boundary regularity for certain fully nonlinear elliptic equations.
Friedmar Schulz (1993)
Journal für die reine und angewandte Mathematik
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Global Regularity of Solutions of Nonlinear Second Order Elliptic and Parabolic Differential Equations.
Gary M. Liebermann (1986)
Mathematische Zeitschrift
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New a priori estimates for -nonlinear elliptic systems with strong nonlinearities in the gradient, .
Arkhipova, A.A. (2004)
Journal of Mathematical Sciences (New York)
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A Regularity Result for Nonlinear Elliptic Systems.
Jens Frehse (1971)
Mathematische Zeitschrift
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Regularity of solutions of nonlinear elliptic boundary value problems.
Gary M. Lieberman (1986)
Journal für die reine und angewandte Mathematik
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The summability of solutions to variational problems since Guido Stampacchia.
Lucio Boccardo (2003)
RACSAM
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Inequalities concerning the integral of |∇u| on the subsets where |u(x)| is greater than k can be used in order to prove regularity properties of the function u. This method was introduced by Ennio De Giorgi e Guido Stampacchia for the study of the regularity of the solutions of Dirichlet problems.
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.
A new partial regularity proof for solutions of nonlinear elliptic systems.
Christoph Hamburger (1998)
Manuscripta mathematica
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Oblique boundary value problems for nonlinear parabolic equations
Uraltseva, N. N.
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Voltage-Current Characteristcs of Varistors and Thermistors
Giovanni Cimatti (2009)
Bollettino dell'Unione Matematica Italiana
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The voltage-current characteristics of two classes of nonlinear resistors (varistors and thermistors) modelled as three-dimensional bodies is derived from the corresponding systems of nonlinear elliptic boundary value problems. Theorems of existence and uniqueness of solutions are presented, together with certain properties of monotonicity of the conductance.