On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
نویسندگان
چکیده
منابع مشابه
On the Solutions of Quasi-linear Elliptic Partial Differential Equations*
The literature concerning these equations being very extensive, we shall not attempt to give a complete list of references. The starting point for many more modern researches has been the work of S. Bernstein,f who was the first to prove the analyticity of the solutions of the general equation with analytic and who was able to obtain a priori bounds for the second and higher derivatives of ...
متن کاملOn quasi-linear stochastic partial differential equations
We prove existence and uniqueness of the solution of a parabolic SPDE in one space dimension driven by space-time white noise, in the case of a measurable drift and a constant diffusion coefficient, as well as a comparison theorem.
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
متن کاملTopological soliton solutions of the some nonlinear partial differential equations
In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...
متن کاملBoundary Behavior for Solutions of Singular Quasi–linear Elliptic Equations
In this paper, for 1 γ 3 our main purpose is to consider the quasilinear elliptic equation: div(|∇u|m−2∇u) + (m− 1)u−γ = 0 on a bounded smooth domain Ω ⊂ RN , N > 1 . We get some first-order estimates of a nonnegative solution u satisfying u = 0 on ∂Ω . For γ = 1 , we find the estimate: limx→∂Ω u(x)/p(δ (x)) = 1 , where p(r) ≈ r m √ m log(1/r) near r = 0 , δ (x) denotes the distance from x to ∂...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1938
ISSN: 0002-9947
DOI: 10.2307/1989904