Results 291 to 300 of about 428,921 (359)

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 ...
Linda Maria De Cave
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Fully Nonlinear Elliptic Equations with Gradient Terms on Hermitian Manifolds

International mathematics research notices, 2022
We derive a priori 2nd-order estimates for fully nonlinear elliptic equations that depend on the gradients of solutions on compact Hermitian manifolds, which is a crucial step in solving the equations.
Bo Guan, Xiaolan Nie
semanticscholar   +1 more source

Fully Nonlinear Elliptic Equations

1995
Luis Caffarelli, Xavier Cabré
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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
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1984
Translation from Mat. Sb. Nov. Ser. 120(162), No.3, 311-330 (Russian) (1983; Zbl 0525.35038).
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Nonlinear Singular Elliptic Equations

Journal of the London Mathematical Society, 1989
Let F be a dense vector subspace of a Banach space E, and f be a functional defined on F, in which f is not expected to have any critical point. We extend the variational theory to seek generalized critical points of f in E (not in F). Using these results we find solutions in \(W_ 0^{1,2}(\Omega)\) of the following equation \[ (P)\quad -\Delta u+c=Ke ...
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An elliptic equation with concave and convex nonlinearities

Nonlinear Analysis: Theory, Methods & Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Shibo, Li, Shujie
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Identification of nonlinear elliptic equations

Applied Mathematics & Optimization, 1996
The authors study the identification of the nonlinearities \(a\) and \(b\) in the following boundary value problems: \[ -\text{div}(a(\nabla y))\ni f\quad\text{in }\Omega,\quad y=0\quad\text{on }\partial\Omega \] and \[ -\Delta y+b(y)\ni f\quad\text{in }\Omega,\quad y=0\quad\text{on }\partial\Omega, \] where \(\Omega\) is a bounded domain in \(\mathbb ...
Barbu, V., Kunisch, K.
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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 Parabolic and Elliptic Equations

1993
C. Pao
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