Results 171 to 180 of about 14,259 (205)

Geometric problems in quasilinear elliptic equations

Russian Mathematical Surveys, 1970
In their survey reports A. D. Aleksandrov and A. V. Pogorelov [1] and N. V. Efimov [2] give a detailed account of the deep relationships between the theory of surfaces and the theory of partial differential equations; they also highlight the main results and research problems on the boundary of geometry and analysis connected with Gaussian curvature of
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Solvability of degenerate quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 1996
The existence of weak solutions for degenerate elliptic boundary value problems is studied for the equation \[ - \sum^n_{i= 1} {\partial\over \partial x_i} a_i(x, u, \nabla u)+ \nu_0(x)|u|^{p- 2} u+ f(x, u, \nabla u)= 0.\tag{1} \] This equation is a generalization of equations of Klein-Gordon or Schrödinger type.
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Positive solutions for some quasilinear elliptic equations

1996
Summary: Let \(\Omega\) be a bounded open set of \(\mathbb{R}^N\), \(N\geq 1\). We look for solutions of the quasilinear Dirichlet problem \[ u\in H^1_0(\Omega),\quad -\text{div}(A(x,u)Du)= g(x,u), \] where \(A(x,s)\) is a Carathéodory elliptic matrix and \(g(x,s)\) is a Carathéodory function increasing with respect to \(s\).
M. ARTOLA, BOCCARDO, Lucio
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Multiple solutions for quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 1990
The author uses degree theory for mappings of class \((S)_+\) [see \textit{F. E. Browder}, Bull. Am. Math. Soc., New Ser. 9, 1-39 (1983; Zbl 0533.47053)] to determine the existence of multiple weak solutions to boundary value problems of the form \(Au-g(u)=0\) in \(\Omega \subset {\mathbb{R}}^ N\), \(u=0\) on \(\partial \Omega\), where \(\Omega\) is a ...
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Elliptic Curve Cryptography; Applications, challenges, recent advances, and future trends: A comprehensive survey

Computer Science Review, 2023
Shamsher Ullah
exaly  

Numerical evaluation of iterated integrals related to elliptic Feynman integrals

Computer Physics Communications, 2021
Moritz Walden, Weinzierl Stefan
exaly  

QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS

Bulletin of the London Mathematical Society, 1979
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QUASILINEAR ELLIPTIC-PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1968
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Generating singularities of quasilinear elliptic equations

Journal of mathematical analysis and applications, 2000
Let ...
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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

SIAM Journal on Numerical Analysis, 2002
Douglas N Arnold, Franco Brezzi, Bernardo Cockburn   +2 more
exaly