Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent
-
Man Chun Leung
matlmc@math.nus.edu.sg
Downloads
Abstract
In IRn (n ≥ 3), an interesting property of the semi-linear equation
Is that, when K0 is a positive constant, solutions can concentrate at any point. When K0 is not a constant, we show that concentration of solutions requires strong conditions on K0. Through the stereographic projection, the discussion can be extended to Sn, and is related to bubbling, or the blow-up phenomenon.
Keywords
Similar Articles
- Alexander Fabricant, Nikolai Kutev, Tsviatko Rangelov, On the first eigenvalue for linear second order elliptic equations in divergence form , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Jean M. Tchuenche, A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- A. Rodkina, On Asymptotic Stability of Nonlinear Stochastic Systems with Delay , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- M.I. Belishev, Some remarks on the impedance tomography problem for 3d-manifolds , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- A.G. Ramm, One-dimensional inverse scattering and spectral problems , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Jerome Yen, Ferenc Szidarovszky, Dynamic Negotiations , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Paolo Piccione, Daniel V. Tausk, Topological Methods for ODE's: Symplectic Differential Systems , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- José Adonai P. Seixas, On Bases of Constant Curvature , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Lolimar Diaz, Raúl Naulin, Discrete Systems with Advanced Argument , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Svetlin G. Georgiev, Khaled Zennir, New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
<< < 5 6 7 8 9 10 11 12 13 14 15 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2005-04-01
How to Cite
[1]
M. Chun Leung, “Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent”, CUBO, vol. 7, no. 1, pp. 1–21, Apr. 2005.
Issue
Section
Articles
