Results 61 to 70 of about 1,917 (133)

Existence of two solutions for singular Φ-Laplacian problems

open access: yesAdvanced Nonlinear Studies, 2022
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale   +2 more
doaj   +1 more source

Some nonlinear second order equation modelling rocket motion [PDF]

open access: yes, 2015
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
core  

Analytical validation of the finite element method model for Laplace equation

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2019
The presented paper is focused on the comparison of the numerical solution of the Laplace equation in a two-dimensional space with the results obtained with the use of the analytical method.
E. Wegrzyn-Skrzypczak, T. Skrzypczak
semanticscholar   +1 more source

On the existence of bounded solutions of nonlinear elliptic systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 479-490, 2002., 2002
We study the existence of bounded solutions to the elliptic system −Δpu = f(u, v) + h1 in Ω, −Δqv = g(u, v) + h2 in Ω, u = v = 0 on ∂Ω, non‐necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct ...
Abdelaziz Ahammou
wiley   +1 more source

Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

open access: yesAdvances in Nonlinear Analysis
Let Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
doaj   +1 more source

Dynamic behavior analysis of a prey-predator model with ratio-dependent Monod-Haldane functional response

open access: yesOpen Mathematics, 2018
This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
doaj   +1 more source

Symmetry breaking for a problem in optimal insulation [PDF]

open access: yes, 2016
We consider the problem of optimally insulating a given domain $\Omega$ of ${\mathbb{R}}^d$; this amounts to solve a nonlinear variational problem, where the optimal thickness of the insulator is obtained as the boundary trace of the solution.
Bucur, Dorin   +2 more
core   +2 more sources

On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator

open access: yes, 2014
In the present work, we study properties of some integro-differential operators of the Hadamard-Marchaud type in the class of harmonic functions. As an application of these properties, we consider the question of the solvability of a nonlocal boundary ...
M. Muratbekova   +2 more
semanticscholar   +1 more source

Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green′s function for the original surface

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 687-694, 2002., 2002
We solve the Dirichlet problem for acoustic scattering from a surface which has been perturbed by the addition of one or more bumps. We build the solution for the bumpy case using the Green′s function for the unperturbed surface, and the solution of a local integral equation in which the integration is carried out only over the added bumps. We conclude
Maxim J. Goldberg, Seonja Kim
wiley   +1 more source

Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the ...
Candito Pasquale   +3 more
doaj   +1 more source

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