A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity
نویسندگان
چکیده
منابع مشابه
A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity
We consider positive solutions of ∆u − μu + Ku n+2 n−2 = 0 on B1 (n ≥ 5) where μ and K > 0 are smooth functions on B1. If K is very sub-harmonic at each critical point of K in B2/3 and the maximum of u in B̄1/3 is comparable to its maximum over B̄1, then all positive solutions are uniformly bounded on B̄1/3. As an application, a priori estimate for solutions of equations defined on Sn is derived. ...
متن کاملAdaptive Methods for Semi-linear Elliptic Equations with Critical Exponents and Interior Singularities Adaptive Methods for Semi-linear Elliptic Equations with Critical Exponents and Interior Singularities
We consider the eeectiveness of adaptive nite-element methods for nding the nite element solutions of the parametrised semi-linear elliptic equation u+u+u 5 = 0; u > 0, where u 2 C 2 ((); for a domain IR 3 and u = 0 on the boundary of : This equation is important in analysis and it is known that there is a value 0 > 0 such that no solutions exist for < 0 and a singularity forms as ! 0. Furtherm...
متن کاملSolutions of Semilinear Elliptic Equations with Asymptotic Linear Nonlinearity
In this paper, we consider some semilinear elliptic equations with asymptotic linear nonlinearity and show the existence, uniqueness, and asymptotic behavior of these solutions.
متن کاملStructure of the solution set for a class of semilinear elliptic equations with asymptotic linear nonlinearity
We consider a semilinear elliptic equation with asymptotic linear nonlinearity applying bifurcation theory and spectral analysis. We obtain the exact multiplicity of the positive solutions and a very precise structure of the solution set, which improves the previous knowledge of the problem.
متن کاملAdaptive Methods for Semi-linear Elliptic Equations with Critical Exponents and Interior Singularities
We consider the eeectiveness adaptive nite-element methods for nding the nite element solutions of the parametrised semi-linear elliptic equation u+u+u 5 = 0; u > 0, where u 2 C 2 ((); for a domain IR 3 and u = 0 on the boundary of : This equation is important in analysis and it is known that there is a value 0 > 0 such that no solutions exist for < 0 and a singularity forms as ! 0. Furthermore...
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 Differential Equations
سال: 2009
ISSN: 0022-0396
DOI: 10.1016/j.jde.2009.05.004