Solutions with sign information for nonlinear nonhomogeneous elliptic equations
DOI:
https://doi.org/10.12775/TMNA.2015.027Słowa kluczowe
Nonlinear nonhomogeneous differential operator, nonlinear maximum principle, strong comparison principle, Morse theory, parametric equations, nodal solutionsAbstrakt
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.Pobrania
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2015-06-01
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PAPAGEORGIOU, Nikolaos S. & RADULESCU, Vicentiu D. Solutions with sign information for nonlinear nonhomogeneous elliptic equations. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2015, T. 45, nr 2, s. 575–600. [udostępniono 3.7.2024]. DOI 10.12775/TMNA.2015.027.
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