Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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Existence of solutions to $p$-Laplacian equations involving general subcritical growth
Electronic Journal of Differential Equations, 2014 In this article, we consider the quasilinear elliptic equation $-\Delta_p u=\mu f(x,u)$ with the Dirichlet boundary coditions, and under suitable growth condition on the nonlinear term f.
Yong-Yi Lan
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Calderón-Zygmund estimates for Schrödinger equations revisited
Mathematical Modelling and AnalysisWe establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6].
Le Xuan Truong +2 more
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The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]
J Geom Anal, 2023 Baumann P, Mazari-Fouquer I, Sturm K.
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Quasilinear elliptic equations with signed measure
Discrete and Continuous Dynamical Systems, 2008 This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a signed measure. We first prove the existence and continuity of generalized solutions to the Dirichlet problem. The main result of this paper is a weak convergence result, extending previous work of the authors for subharmonic functions and non ...
Wang, Xu-Jia, Trudinger, Neil
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Potential theory for quasiliniear elliptic equations
Electronic Journal of Differential Equations, 2001 We discuss the potential theory associated with the quasilinear elliptic equation $$ -{ m div}(A(x,abla u))+B(x,u)=0. $$ We study the validity of Bauer convergence property, the Brelot convergence property.
Azeddine Baalal, A. Boukricha
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Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. [PDF]
Commun Math Phys, 2022 Huang J, Tataru D.
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Positive solutions of higher order quasilinear elliptic equations
Abstract and Applied Analysis, 2002 The higher order quasilinear elliptic equation −Δ(Δp(Δu))=f(x,u) subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup.
Marcelo Montenegro
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A link between the steepest descent method and fixed-point iterations. [PDF]
Optim Lett, 2023 Heid P.
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Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems
Journal of Mathematics, 2013 We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then ...
Zhenhua Hu, Shuqing Zhou
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