On fully nonlinear elliptic equations of second order
L. Nirenberg (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity:
Displaying similar documents to “Fully nonlinear second order elliptic equations : recent development”
On fully nonlinear elliptic equations of second order
New a priori estimates for -nonlinear elliptic systems with strong nonlinearities in the gradient, .
Arkhipova, A.A. (2004)
Journal of Mathematical Sciences (New York)
Similarity:
Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations
Edward N. Dancer, Shusen Yan (2007)
Bollettino dell'Unione Matematica Italiana
Similarity:
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.
Oblique boundary value problems for nonlinear parabolic equations
Uraltseva, N. N.
Similarity:
Nonexistence of classical solutions of the Dirichlet problem for fully nonlinear elliptic equations
N. Kutev (1991)
Archivum Mathematicum
Similarity:
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
Michal Křížek, Liping Liu (1996)
Applicationes Mathematicae
Similarity:
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 some elliptic boundary-value problems with discontinuous nonlinearities
Giovanni Anello (2005)
Annales Polonici Mathematici
Similarity:
We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
Fully nonlinear second order elliptic equations with large zeroth order coefficient
L. C. Evans, Pierre-Louis Lions (1981)
Annales de l'institut Fourier
Similarity:
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.
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
Similarity:
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.
Nonzero and positive solutions of a superlinear elliptic system
Mario Zuluaga Uribe (2001)
Archivum Mathematicum
Similarity:
In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.