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
- Kaïs Ammari, Georgi Vodev, Boundary Stabilization of the Transmission Problem for the Bernoulli-Euler Plate Equation , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Naoyuki Koike, Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- M. H. Farag, T. A. Talaat, E. M. Kamal, Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik, Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Khalil Ezzinbi, Valerie Nelson, Gaston N‘Gu´er´ekata, ð¶â½â¿â¾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Rafael Galeano, Pedro Ortega, John Cantillo, Stationary Boltzmann equation and the nonlinear alternative of Leray-Schauder type , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Xue Ping Wang, Semi-classical measures and the Helmholtz Equation , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
