Solutions with sign information for nonlinear nonhomogeneous elliptic equations
DOI:
https://doi.org/10.12775/TMNA.2015.027Keywords
Nonlinear nonhomogeneous differential operator, nonlinear maximum principle, strong comparison principle, Morse theory, parametric equations, nodal solutionsAbstract
We consider a class of nonlinear, coercive elliptic equations driven by a nonhomogeneous differential operator. Using variational methods together with truncation and comparison techniques, we show that the problem has at least three nontrivial solutions, all with sign information. In the special case of $(p,2)$-equations, using tools from Morse theory, we show the existence of four nontrivial solutions, all with sign information. Finally, for a special class of parametric equations, we obtain multiplicity theorems that substantially extend earlier results on the subject.Downloads
Published
2015-06-01
How to Cite
1.
PAPAGEORGIOU, Nikolaos S. and RADULESCU, Vicentiu D. Solutions with sign information for nonlinear nonhomogeneous elliptic equations. Topological Methods in Nonlinear Analysis. Online. 1 June 2015. Vol. 45, no. 2, pp. 575 - 600. [Accessed 28 March 2024]. DOI 10.12775/TMNA.2015.027.
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 8