Results 21 to 30 of about 511,017 (227)
Journal of Applied Mathematics, 2012 We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel +2 more
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Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
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On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations [PDF]
, 2005 The strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations are considered. For linear elliptic equations it is well known that the strong comparison principle is equivalent to the strong maximum ...
Giga, Yoshikazu, Ohnuma, Masaki
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ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains [PDF]
, 2014 We prove global Holder estimates for solutions of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions a la Cabre.
I. Birindelli, I. Dolcetta, A. Vitolo
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Linear Superposition in Nonlinear Equations [PDF]
, 2001 Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions.
A. C. Newell +13 more
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Symmetry of positive solutions of nonlinear elliptic equations in R
, 1981 (1993). Radial symmetry of positive solutions of nonlinear elliptic equations in Rn. Communications in Partial Differential Equations: Vol. 18, No. 5-6, pp. 1043-1054.
B. Gidas, W. Ni, L. Nirenberg
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$$C^{2,\alpha }$$C2,α estimates for nonlinear elliptic equations in complex and almost complex geometry [PDF]
, 2014 We describe how to use the perturbation theory of Caffarelli to prove Evans–Krylov type $$C^{2,\alpha }$$C2,α estimates for solutions of nonlinear elliptic equations in complex geometry, assuming a bound on the Laplacian of the solution.
Valentino Tosatti +3 more
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Journal of Applied Mathematics, 2013 A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
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Existence of entropy solutions for nonlinear elliptic equations in Musielak framework with L1 data
, 2018 We prove existence of solutions for strongly nonlinear elliptic equations of the form $$ \left\{\begin{array}{c} A(u)+g(x,u,\nabla u)=f+\mbox {div}(\phi(u))\quad \textrm{in }\Omega, \\ u\equiv0\quad \partial \Omega.
Elemine Vall Mohamed Saad Bouh +3 more
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On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds II: L∞ Estimate [PDF]
, 2014 We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. Under the assumption of the cone condition, we derive the L∞ estimate directly. As an application, we solve the complex quotient equations on closed Kähler manifolds. ©
Weiling Sun
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