Results 11 to 20 of about 11,643 (311)
Gradient Estimate For Solutions Of Second-Order Elliptic Equations
Advances in Differential Equations, 2022 We obtain a local estimate for the gradient of solutions to a second-order elliptic equation in divergence form with bounded measurable coefficients that are square-Dini continuous at the single point x = 0.
Mazya, Vladimir,, McOwen, Robert,
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Lipschitz constants for positive solutions of second-order elliptic equations
Electronic Journal of Differential Equations, 2010 We are concerned with positive solutions of second order fully nonlinear elliptic equations.
Antonio Vitolo, VITOLO, Antonio
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Nonlinear elliptic equations of the second order
, 2016 Nonlinear elliptic differential equations are a diverse subject with important applications to the physical and social sciences and engineering. They also arise naturally in geometry.
Han, Qing, Qing Han
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Second order elliptic partial differential equations driven by Lévy white noise
Modern Stochastics: Theory and Applications, 2021 This paper deals with linear stochastic partial differential equations with variable coefficients driven by Lévy white noise. First, an existence theorem for integral transforms of Lévy white noise is derived and the existence of generalized and mild ...
David Berger, Farid Mohamed
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Second-Order Elliptic Equation with Singularities [PDF]
International Journal of Differential Equations, 2020 On the compact Riemannian manifold of dimension n≥5, we study the existence and regularity of nontrivial solutions for nonlinear second-order elliptic equation with singularities. At the end, we give a geometric application of the above singular equation.
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On Second Order Elliptic Equations with a Small Parameter [PDF]
Communications in Partial Differential Equations, 2013 The Neumann problem with a small parameter $$(\dfrac{1}εL_0+L_1)u^ε(x)=f(x) \text{for} x\in G, .\dfrac{\partial u^ε}{\partial γ^ε}(x)|_{\partial G}=0$$ is considered in this paper. The operators $L_0$ and $L_1$ are self-adjoint second order operators. We assume that $L_0$ has a non-negative characteristic form and $L_1$ is strictly elliptic.
Freidlin, Mark, Hu, Wenqing
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Second Order Differentiability for Solutions of Elliptic Equations in the Plane [PDF]
Journal of Mathematical Sciences, 2013 10 ...
McOwen, R., Maz'ya, V. G.
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Second-order estimates for boundary blowup solutions of special elliptic equations
Boundary Value Problems, 2006 We find a second-order approximation of the boundary blowup solution of the equation , with , in a bounded smooth domain . Furthermore, we consider the equation .
Anedda Claudia +2 more
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The oscillatory behavior of second order nonlinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2005 Some oscillation criteria are established for the nonlinear damped elliptic differential equation of second order $$ \sum_{i,\,j=1}^{N}D_i[\,a_{ij}(x)D_jy\,]+\sum_{i=1}^{N}b_i(x)D_iy+p(x)f(y)=0, \tag{E} $$ which are different from most known ones in ...
Zhiting Xu
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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