Results 271 to 280 of about 581,251 (325)

Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds

, 2014
We derive a priori estimates for second order derivatives of solutions to a wide class of fully nonlinear elliptic equations on Riemannian manifolds. There had been significant work in this direction, especially in connection with important geometric ...
Bo Guan, H. Jiao
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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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Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Calculus of Variations and Partial Differential Equations, 2018
We present the first to date weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables.
Hongjie Dong, N. Krylov
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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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Nonlinear elliptic equations for measures

Doklady Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fully Nonlinear Elliptic Equations on General Domains

Canadian Journal of Mathematics, 2002
AbstractBy means of the Pucci operator, we construct a function u0, which plays an essential role in our considerations, and give the existence and regularity theorems for the bounded viscosity solutions of the generalized Dirichlet problems of second order fully nonlinear elliptic equations on the general bounded domains, which may be irregular.
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