Results 21 to 30 of about 3,531,269 (377)

Local minimizers in spaces of symmetric functions and applications [PDF]

open access: yes, 2014
We study $H^1$ versus $C^1$ local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\mathcal{O}(N)$.
Dos Santos   +3 more
core   +1 more source

Potentials for the singular elliptic equations and their application

open access: yesResults in Applied Mathematics, 2020
Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
doaj   +1 more source

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

Existence of positive weak solutions for a class of singular elliptic equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Li Xia, Jingna Li, Zheng'an Yao
doaj   +1 more source

A Deep Neural Network Algorithm for Semilinear Elliptic PDEs with Applications in Insurance Mathematics

open access: yesRisks, 2020
In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner   +2 more
doaj   +1 more source

Positive Solutions for Perturbed Fractional p-Laplacian Problems

open access: yesFractal and Fractional, 2022
In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth.
Mengfei Tao, Binlin Zhang
doaj   +1 more source

Some remarks on the Lp regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini condition [PDF]

open access: yes, 2016
In this note we prove an end-point regularity result on the Lp integrability of the second derivatives of solutions to non-divergence form uniformly elliptic equations whose second derivatives are a priori only known to be integrable. The main assumption
Escauriaza, Luis, Montaner, Santiago
core   +3 more sources

Fully non-linear elliptic equations on compact Hermitian manifolds [PDF]

open access: yesJournal of differential geometry, 2015
We derive a priori estimates for solutions of a general class of fully non-linear equations on compact Hermitian manifolds. Our method is based on ideas that have been used for different specific equations, such as the complex Monge-Ampere, Hessian and ...
Gábor Székelyhidi
semanticscholar   +1 more source

Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2012
We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj   +1 more source

A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

open access: yesTikrit Journal of Pure Science, 2022
In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
doaj   +1 more source

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