Displaying similar documents to “An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients”

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.

In Memoriam Jindřich Nečas

Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák (2004)

Mathematica Bohemica

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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.