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Time maps and exact multiplicity results for one-dimensional prescribed mean curvature equations

โœ Scribed by Hongjing Pan; Ruixiang Xing

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
626 KB
Volume
74
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We investigate various properties of time maps for one-dimensional prescribed mean curvature equations. Using these properties, we obtain some exact multiplicity results of positive solutions and sign-changing solutions. As it turned out, these quasilinear problems show many different phenomena from semilinear problems. Our methods are based on a detailed analysis of time maps.

๐Ÿ“œ SIMILAR VOLUMES

Time maps and exact multiplicity results
Time maps and exact multiplicity results for one-dimensional prescribed mean curvature equations. II
โœ Hongjing Pan; Ruixiang Xing ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 634 KB

We consider non-classical solutions of the quasilinear boundary value problem where ฮป and L are positive parameters. We give complete descriptions of the structure of bifurcation curves and determine the exact numbers of positive non-classical solutions of the model problems for various nonlinearit