Results 231 to 240 of about 2,995 (267)

Solvability of an Elliptic Equation with a Gradient Nonlinearity

Differential Equations, 2005
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On a Nonlinear Elliptic Equation with Periodic Coefficients

SIAM Journal on Applied Mathematics, 1981
Homogenization is applied to a mildly nonlinear equation which arises in chemical kinetics. The method of multiple scales is used to get the homogenized equation, and the convergence is proved using the energy method.
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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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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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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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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 ...
J. I. Diaz, J.M. Morel, L. Oswald
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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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A (3 + 1)-dimensional resonant nonlinear Schrödinger equation and its Jacobi elliptic and exponential function solutions

Optik, 2020
Mohammad Mirzazadeh, M Matinfar
exaly  

Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms

Mathematics and Computers in Simulation, 2022

exaly  

Jacobi Elliptic Function Expansion Method for the Nonlinear Vakhnenko Equation

Journal of Applied Mathematics and Physics, 2020
Chunhuan Xiang
exaly