Results 31 to 40 of about 581,251 (325)
Quasilinear Elliptic Equations with Singular Nonlinearity
Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
openaire +2 more sources
Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj +1 more source
Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems [PDF]
We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a superlinear part in the sense of Barles and Souganidis (2001).
Ley, Olivier, Nguyen, Vinh Duc
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The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds [PDF]
We study a class of fully nonlinear elliptic equations on Riemannian manifolds and solve the Dirichlet problem in a domain with no geometric restrictions to the boundary under essentially optimal structure conditions.
Bo Guan
semanticscholar +1 more source
F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number
Ali Filiz +2 more
doaj +1 more source
Calculating the large deflection of a cantilever beam is one of the common problems in engineering. The differential equation of a beam under large deformation, or the typical elastica problem, is hard to approximate and solve with the known solutions ...
Chencheng Lian +3 more
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Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko +21 more
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SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS [PDF]
We derive a priori second order estimates for solutions of a class of fully nonlinear elliptic equations on Riemannian manifolds under some very general structure conditions.
Bo Guan
semanticscholar +1 more source
Boundary regularity for viscosity solutions of fully nonlinear elliptic equations
We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains.
Silvestre, Luis, Sirakov, Boyan
core +1 more source
Existence of entropy solutions for nonlinear elliptic equations in Musielak framework with L1 data
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
semanticscholar +1 more source

