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Existence and multiplicity of solutions to equations of N-Laplacian type with critical exponential growth in

โœ Scribed by Nguyen Lam; Guozhen Lu

Book ID
113710171
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
247 KB
Volume
262
Category
Article
ISSN
0022-1236

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Existence and Multiplicity of Nodal Solu
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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 \(\Omega, u=0\)