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Existence and concentration of solutions with compact support for elliptic problems with critical growth in RN

โœ Scribed by Lu, Qiuping


Book ID
122258954
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
505 KB
Volume
414
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


Existence and Multiplicity of Nodal Solu
โœ E. Hebey; M. Vaugon ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 594 KB

Let \(\Omega\) be a smooth bounded domain of \(\mathbb{R}^{n}, n \geqslant 3\), and let \(a(x)\) and \(f(x)\) be two smooth functions defined on a neighbourhood of \(\Omega\). First we study the existence of nodal solutions for the equation \(\Delta u+a(x) u=f(x)|u|^{4 /(n-2)} u\) on \(\Omega, u=0\)