Results 221 to 230 of about 511,067 (272)

On a Class of Fully Nonlinear Elliptic Equations Containing Gradient Terms on Compact Hermitian Manifolds

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2017
In this paper we study a class of second order fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds and obtain a priori estimates under proper assumptions close to optimal.
Rirong Yuan
semanticscholar   +1 more source

Identification of nonlinear elliptic equations

Applied Mathematics & Optimization, 1996
An optimization theoretic approach and algorithm for the estimation of state-dependent coefficients in nonlinear elliptic equation is presented. It is based on a splitting method combined with convex analysis techniques. Convergence of the algorithm is established and numerical examples are included.
Viorel Barbu, Karl Kunisch
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS [PDF]

Mathematics of the USSR-Sbornik, 1984
Dirichlet problems for degenerate nonlinear elliptic equations of Bellman type are studied, where is a linear elliptic operator of second order. Under certain conditions on the coefficients of , it is shown that this problem is solvable in the class of functions with bounded second derivatives.Bibliography: 15 titles.
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A priori bounds for positive solutions of nonlinear elliptic equations

, 1981
We derive a priori bounds for positive solutions of the non-linear elliptic boundary value problem where Ω is a bounded domain in R n. Our proof is by contradiction and uses a scaling (“blow up”) argument reminiscent to that used in the theory of Minimal
B. Gidas, J. Spruck
semanticscholar   +1 more source

On semilinear elliptic equations with indefinite nonlinearities [PDF]

Calculus of Variations and Partial Differential Equations, 1993
Abstract: "This paper concerns semilinear elliptic equations whose nonlinear term has the form W(x)f(u) where W changes sign. We study the existence of positive solutions and their multiplicity. The important role played by the negative part of W is contained in a condition which is shown to be necessary for homogeneous f.
Gabriella Tarantello, Stanley Alama
openaire   +1 more source

Nonlinear Elliptic Equations of the Second Order

, 2016
* Introduction* Linear elliptic equations* Quasilinear elliptic equations: Quasilinear uniformly elliptic equations* Mean curvature equations* Minimal surface equations* Fully nonlinear elliptic equations: Fully nonlinear uniformly elliptic equations ...
Qing Han
semanticscholar   +1 more source

An elliptic equation with singular nonlinearity

Communications in Partial Differential Equations, 1987
The purpose of this paper is to study the problem (P) −Δu+u−α=f in Ω, u=0 on ∂Ω, u−α∈L1(Ω), u>0 in Ω, where Ω is a bounded smooth open set of RN, f≥0, f∈L1(Ω) and ...
Jesús Ildefonso Díaz Díaz, J.M. Morel, L. Oswald   +2 more
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$$C^{2,\alpha }$$C2,α estimates for nonlinear elliptic equations of twisted type

, 2015
We prove a priori interior $$C^{2,\alpha }$$C2,α estimates for solutions of fully nonlinear elliptic equations of twisted type. For example, our estimates apply to equations of the type convex + concave.
Tristan C. Collins
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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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