Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
نویسندگان
چکیده
منابع مشابه
Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
Recommended by Shujie Li We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a priori estimates. This is an open access article distributed under the Creative Commons Attribution License, which permits unres...
متن کاملCompactness and Existence Results for Degenerate Critical Elliptic Equations
This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type. By means of blow-up analysis techniques, we prove an a-priori estimate in a weighted space of continuous functions. From this compactness result, the existence of a solution to our problem is proved by exploiting the homotopy invariance of the Leray-Schauder degree.
متن کاملExistence Results for a Class of Semilinear Degenerate Elliptic Equations
We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form. Degeneracy in the ellipticity condition is allowed.
متن کاملOn Periodic Elliptic Equations with Gradient Dependence
We construct entire solutions of ∆u = f(x, u,∇u) which are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.
متن کاملExistence and Multiplicity of Weak Solutions for a Class of Degenerate Nonlinear Elliptic Equations
The goal of this paper is to study a nonlinear elliptic equation in which the divergence form operator −div(a(x,∇u)) is involved. Such operators appear in many nonlinear diffusion problems, in particular in the mathematical modeling of non-Newtonian fluids (see [5] for a discussion of some physical background). Particularly, the p-Laplacian operator −div(|∇u|p−2∇u) is a special case of the oper...
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: Boundary Value Problems
سال: 2007
ISSN: 1687-2762
DOI: 10.1155/2007/47218