The index of a critical point for nonlinear elliptic operators with strong coefficient growth
نویسندگان
چکیده
منابع مشابه
Liouville Properties and Critical Value of Fully Nonlinear Elliptic Operators
We prove some Liouville properties for suband supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate sign, as in OrnsteinUhlenbeck operators. We give two applications. The first is a stabilization property for large times of solutions to fully n...
متن کاملA critical elliptic problem for polyharmonic operators
In this paper, we study the existence of solutions for a critical elliptic problem for polyharmonic operators. We prove the existence result in some general domain by minimizing on some infinite-dimensional Finsler manifold for some suitable perturbation of the critical nonlinearity when the dimension of domain is larger than critical one. For the critical dimensions, we prove also the existenc...
متن کاملA Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index
In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method i...
متن کاملMultiple Condensations for a Nonlinear Elliptic Equation with Sub-critical Growth and Critical Behavior
We consider the following nonlinear elliptic equations u + u
متن کاملTwo Dimensional Elliptic Equation with Critical Nonlinear Growth
We study the asymptotic behavior of solutions to a semilinear elliptic equation associated with the critical nonlinear growth in two dimensions. { −∆u = λueu , u > 0 in Ω, u = 0 on ∂Ω, (1.1) where Ω is a unit disk in R2 and λ denotes a positive parameter. We show that for a radially symmetric solution of (1.1) satisfies ∫ D |∇u| dx → 4π, λ ↘ 0. Moreover, by using the Pohozaev identity to the re...
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: Journal of the Mathematical Society of Japan
سال: 2000
ISSN: 0025-5645
DOI: 10.2969/jmsj/05210109