Results 81 to 90 of about 2,254 (236)

Hermite solution for a new fractional inverse differential problem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj   +2 more
wiley   +1 more source

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

open access: yes, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio   +1 more
core  

Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball

open access: yes, 2004
In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M   +5 more
core   +1 more source

Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems

open access: yesElectronic Journal of Differential Equations, 1999
When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied.
Chao-Nien Chen, Shyuh-Yaur Tzeng
doaj  

Computation of radial solutions of semilinear equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem.
Philip Korman
doaj   +1 more source

Dissipative Gradient Nonlinearities Prevent δ$\delta$‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models

open access: yesStudies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT We study a class of zero‐flux attraction–repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density u$u$, the chemosensitivities and the production rates of the chemoattractant v$v$ and the chemorepellent w$w$. In addition, a source involving also the gradient of u$u$ is incorporated.
Tongxing Li   +3 more
wiley   +1 more source

Sub-supersolution theorems for quasilinear elliptic problems: A variational approach

open access: yesElectronic Journal of Differential Equations, 2004
This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
doaj  

Clustered spots in the FitzHugh-Nagumo system

open access: yes, 2004
We construct {\bf clustered} spots for the following FitzHugh-Nagumo system: \[\left\{\begin{array}{l}\ep^2\Delta u +f(u)-\delta v =0\quad \mbox{in} \ \Om,\\[2mm]\Delta v+ u=0 \quad \mbox{in} \ \Om,\\[2mm] u= v =0 \quad\mbox{on} \ \partial \Om, \end{
Winter, M   +5 more
core   +1 more source

Classification of positive solutions of semilinear elliptic equations

open access: yesComptes Rendus. Mathématique, 2003
We give a classification of all solutions of a general semilinear PDE in the positive quadrant of ℝ 2 .
Busca, J, Efendiev, M, Zelik, S
openaire   +3 more sources

Chapter 1 Semilinear Elliptic Systems: Existence, Multiplicity, Symmetry Of Solutions

open access: yes, 2015
[No abstract available]5148Alves, C.O., de Morais Filho, D.C., Souto, M.A.S., On systems of elliptic equations involving subcritical and critical Sobolev exponents (2000) Nonlinear Anal., 42, pp.
de Figueiredo D.G.
core   +1 more source

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