Results 101 to 110 of about 88,801 (291)
A Degenerate Neumann Problem for Quasilinear Elliptic Equations
Tokyo Journal of Mathematics, 2000 The degenerate Neumann problem \[ \begin{cases} \ \displaystyle \sum_{i,j=1}^{n}a^{ij}(x)\frac{\partial^{2}u}{\partial x_i\partial x_j}=f(x,u,Du) & \text{in}\ \Omega ,\\ \ a(x)\dfrac{\partial u}{\partial v}+b(x)u=\varphi(x) & \text{on}\ \Gamma \end{cases} \] is studied in the case where $a(x)$ and $b(x)$ are non-negative functions on $\Gamma$ such that
Taira, K. +2 more
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On nonlocal quasilinear equations and their local limits
, 2016 We introduce a new class of quasilinear nonlocal operators and study equations involving these operators. The operators are degenerate elliptic and may have arbitrary growth in the gradient.
Chasseigne, Emmanuel, Jakobsen, Espen
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Multiple solutions for a quasilinear (p,q)-elliptic system
Electronic Journal of Differential Equations, 2013 In this article we show the existence of three weak solutions of a Dirichlet quasilinear elliptic system of differential equations which involves a general (p,q)-elliptic operator in divergence, with ...
Seyyed Mohsen Khalkhali +1 more
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Boundary Value Problems, 2019 In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains Ω⊂RN $\varOmega \subset R^{N}$ ( N≥3 ${N \ge 3} $), and prove the multiplicity ...
Yuanyuan Li
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Quasilinear elliptic equations with signed measure
Discrete and Continuous Dynamical Systems, 2008 This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a signed measure. We first prove the existence and continuity of generalized solutions to the Dirichlet problem. The main result of this paper is a weak convergence result, extending previous work of the authors for subharmonic functions and non ...
Wang, Xu-Jia, Trudinger, Neil
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$C^{1,\alpha}$-Regularity of Quasilinear equations on the Heisenberg Group
, 2018 In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group.
Mukherjee, Shirsho
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Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
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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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Strongly resonant quasilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2008 Abstract In this paper we study the following nonlinear boundary value problem { − Δ p u = λ 1 | u | p − 2 u + g ( u ) in Ω , u | ∂ Ω = 0 . An existence result is shown under some strong resonance conditions generalizing those of Tang and Landesman–Lazer.
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Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain. [PDF]
MethodsX, 2023 Setia N, Mohanty RK.
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