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An elliptic equation with concave and convex nonlinearities

โœ Scribed by Shibo Liu; Shujie Li


Book ID
104330497
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
113 KB
Volume
53
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


We obtain inรฟnitely many solutions for the problem

where N ยฟ 3, 1 ยก q ยก p ยก s. Our result extends those of Tonkes (Topology Methods Nonlinear Anal. 13 (1999) 251) in two aspects: we don't require s 6 p * , and the requirements on the weight h also be relaxed.


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โœ Yavdat Ilโ€™yasov ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 311 KB

In this paper we study the family of nonlinear elliptic Dirichlet boundary value problems with p-Laplacian and with concave-convex nonlinearity which depend on real parameter . We introduce nonlocal intervals ( i , i+1 ) such that the characteristic points i , i+1 (a priori bifurcation values) expre