Results 51 to 60 of about 1,005 (120)
On a result by Boccardo-Ferone-Fusco-Orsina
, 2011 Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non ...
Squassina, Marco
core +1 more source
A variational principle for complex boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 315-318, 1988., 1988 This paper provides a variational formalism for boundary value problems which arise in certain feilds of research such as that of electricity, where the associated boundary conditions contain complex periodic conditions. A functional is provided which embodies the boundary conditions of the problem and hence the expansion (trial) functions need not ...
Adnan Atef Hajj
wiley +1 more source
On the singularly perturbation fractional Kirchhoff equations: Critical case
Advances in Nonlinear Analysis, 2022 This article deals with the following fractional Kirchhoff problem with critical exponent a+b∫RN∣(−Δ)s2u∣2dx(−Δ)su=(1+εK(x))u2s∗−1,inRN,\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}| {\left(-\Delta )}^{\tfrac{s}{2}}u\hspace{-0.25em}{| }^{2}{\rm{d ...
Gu Guangze, Yang Zhipeng
doaj +1 more source
Advances in Nonlinear Analysis, 2022 This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
doaj +1 more source
, 2019 In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations.
Ghassan A. Al-Juaifri +2 more
semanticscholar +1 more source
Some nonlinear second order equation modelling rocket motion [PDF]
, 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
Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This paper establishes the existence, uniqueness and time–space regularity of the weak solution to a nonlinear coupled parabolic system modeling temperature evolution in a coaxial heat exchanger with source terms and spatially varying coefficients. The system is formulated in a weak sense and the analysis relies on a Faedo–Galerkin method tailored to ...
Kouma Ali Ouattara +4 more
wiley +1 more source
Existence of homoclinic solutions for a class of difference systems involving p-Laplacian
Advances in Differential Equations, 2014 By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form Δ(|Δu(n−1)|p−2Δu(n−1))−a(n)|u(n)|q−pu(n)+∇W(n,u(n))=0 have at least one or infinitely many homoclinic ...
Qiongfen Zhang
semanticscholar +1 more source
Demonstratio MathematicaIn this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj +1 more source
Open Mathematics, 2017 Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in ...
Li Peiluan, Shang Youlin
doaj +1 more source