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
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Bhawana Chaube, S. K. Chanyal, Quarter-symmetric metric connection on a p-Kenmotsu manifold , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Sapan Kumar Nayak, P. K. Parida, Global convergence analysis of Caputo fractional Whittaker method with real world applications , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz, Andrea Spiro, The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Satyam Narayan Srivastava, Smita Pati, John R. Graef, Alexander Domoshnitsky, Seshadev Padhi, Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Mahdi Zreik, On the approximation of the δ-shell interaction for the 3-D Dirac operator , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
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
