Results 281 to 290 of about 103,768 (331)

Nonlinear Elliptic Equations with Mixed Singularities

Potential Analysis, 2017
This paper deals with the mathematical analysis of a class of non-variational degenerate elliptic equations with mixed singular structures. A feature of the paper under review is that the singular structure arises both at the set of critical points and on the ground touching points. The main result of this paper establishes that positive solutions have
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Nonlinear Elliptic Equations

1996
Methods of the calculus of variations applied to problems in geometry and classical continuum mechanics often lead to elliptic PDE that are not linear. We discuss a number of examples and some of the developments that have arisen to treat such problems.
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS. II

Mathematics of the USSR-Sbornik, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear elliptic equations with singular nonlinearities

Asymptotic Analysis, 2013
In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
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Nonlinear nonuniformly elliptic second-order equations

Journal of Soviet Mathematics, 1986
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 35-64 (Russian) (1984; Zbl 0557.35048).
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Nonlinear elliptic and parabolic equations

Journal of Soviet Mathematics, 1979
Results of recent years are presented on the theory of nonlinear elliptic and parabolic equations of any order including equations of infinite order.
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Solving Nonlinear Wave Equations by Elliptic Equation

Communications in Theoretical Physics, 2003
The elliptic equation is taken as a transformation and applied to solve nonlinear wave equations. It is shown that this method is more powerful to give more kinds of solutions, such as rational solutions, solitary wave solutions, periodic wave solutions and so on, so it can be taken as a generalized method.
Fu Zun-Tao, Liu Shi-Da, Liu Shi-Kuo
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Elliptic solutions of nonlinear equations

Theoretical and Mathematical Physics, 1990
From the introduction: Methods of the finite-gap integration enable to find exact solutions to many equations of mathematical physics (Korteweg--de Vries, Kadomtsev-Petviashvili, etc.), which can be expressed by means of theta-functions of algebraic curves.
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Higher order nonlinear elliptic equations

Journal of Soviet Mathematics, 1991
The author gives a review about results concerning the solvability of nonlinear elliptic boundary value problems. He discusses some fundamental methods from the theory of monotone operators and topological methods for proving the existence of the solution of various types of boundary value problems (e.g., quasilinear equations, nonlinear b.v.p.
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Nonlinear equations and elliptic curves

Journal of Soviet Mathematics, 1985
This paper deals with the algebro-geometric or finite zone solution of noninear equations which can be written as zero curvature equation \(U_ t-V_ x+[U,V]=0\), where U(x,t,\(\lambda)\) and V(x,t,\(\lambda)\) are two matrices and the parameter \(\lambda\) is defined on elliptic curves. The author presents the main idea of global finite-zone integration
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