Results 21 to 30 of about 14,857,533 (356)
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Multiple solutions of double phase variational problems with variable exponent [PDF]
Advances in Calculus of Variations, 2018 This paper deals with the existence of multiple solutions for the quasilinear equation - div 𝐀 ( x , ∇ u ) + | u | α ( x ) - 2 u = f ( x , u ) in ℝ N , {-\operatorname{div}\mathbf{A}(x,\nabla u)+|u|^{\alpha(x)-2}u=f(x,u)\quad\text% {in ...
Xiayang Shi +3 more
semanticscholar +1 more source
Multiple solutions for critical Choquard-Kirchhoff type equations
, 2020 In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents, −a+b∫RN|∇u|2dxΔu=αk(x)|u|q−2u+β∫RN|u(y)|2μ∗|x−y|μdy|u|2μ∗−2u,x∈RN, $$\begin{array}{} \displaystyle -\left(a + b ...
Sihua Liang, P. Pucci, Binlin Zhang
semanticscholar +1 more source
Journal of Thermal Science and Technology, 2013 The double-diffusive convection in a porous medium due to the opposing heat and mass fluxes on the vertical walls is solved analytically. In the former analysis, we investigated only when ω < π, the parameter arising from a combination among ...
Yoshio MASUDA +2 more
doaj +1 more source
On Different Type Solutions of Boundary Value Problems
Mathematical Modelling and Analysis, 2016 We consider boundary value problems of the type x'' = f(t, x, x'), (∗) x(a) = A, x(b) = B. A solution ξ(t) of the above BVP is said to be of type i if a solution y(t) of the respective equation of variations y'' = fx(t, ξ(t), ξ' (t))y + fx' (t, ξ(t), ξ' (
Maria Dobkevich, Felix Sadyrbaev
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Local solutions of the optimal power flow problem [PDF]
, 2013 The existence of locally optimal solutions to the AC optimal power flow problem (OPF) has been a question of interest for decades. This paper presents examples of local optima on a variety of test networks including modified versions of common networks ...
Waqquas A. Bukhsh +14 more
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Mathematics, 2022 In this paper, three forms of (2 + l)-dimensional Burgers’ equations are investigated. More general multiple solutions of these Burgers’ equations are obtained by dependent variable transformation derived using the simplified homogeneous balance method.
Lingxiao Li +2 more
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Existence and stability of multiple spot solutions for the Gray-Scott model in R^2$
, 2003 Existence and Stability of Multiple Spot Solutions for the Gray-Scott Model in $R^2$ In this paper, we rigorously prove the existence and stability of multiple spot patterns for the Gray-Scott system in a two dimensional domain which are far from ...
Wei, J
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On the detection of nearly optimal solutions in the context of single-objective space mission design problems [PDF]
, 2011 When making decisions, having multiple options available for a possible realization of the same project can be advantageous. One way to increase the number of interesting choices is to consider, in addition to the optimal solution x*, also nearly optimal
Vasile, Massimiliano +7 more
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, 2010 We study a semilinear elliptic problem on a compact Riemannian manifold with boundary, subject to an inhomogeneous Neumann boundary condition. Under various hypotheses on the nonlinear terms, depending on their behaviour in the origin and infinity, we ...
Papageorgiou, NS +5 more
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