The method of quasi-linearization for resolution a nonlocal nonlinear boundary problem.
Kanchukoev, V.Z., Napso, A.F. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Displaying similar documents to “An analytical approach for quasi-linear equation in second order.”
The method of quasi-linearization for resolution a nonlocal nonlinear boundary problem.
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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.
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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.
On the convergence of finite-difference scheme for a nonlocal elliptic boundary value problem.
Berikelashvili, Givi (2001)
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Fully nonlinear second order elliptic equations : recent development
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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.
Symmetry of solutions of semilinear elliptic problems
Jean Van Schaftingen, Michel Willem (2008)
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We study symmetry properties of least energy positive or nodal solutions of semilinear elliptic problems with Dirichlet or Neumann boundary conditions. The proof is based on symmetrizations in the spirit of Bartsch, Weth and Willem (J. Anal. Math., 2005) together with a strong maximum principle for quasi-continuous functions of Ancona and an intermediate value property for such functions.
Composite Mesh Difference Methods for Elliptic Boundary Value Problems.
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On Two-Dimensional Quasi-Linear Elliptic Systems.
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