Remarks on some nonlinear Dirichlet problems with unbounded nonlinearities
Juan J. Nieto (1990)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Existence and nonexistence of classical solutions of the Dirichlet problem for a class of fully nonlinear nonuniformly elliptic equations”
Remarks on some nonlinear Dirichlet problems with unbounded nonlinearities
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.
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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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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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.
On Solvability of a Nonlinear Elliptic Boundary Value Problem
I.G. Stratis (1993)
Publications de l'Institut Mathématique
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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.