The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem; in this paper we use minimax methods and invariant sets of descent flow to prove two interesting existence theorems for the following 4-superlinear Kirchhoff type problems without the P.S.
Multiple solutions for a p ( x )-Kirchhoff-type equation with sign-changing nonlinearities
β Scribed by Chung, Nguyen Thanh
- Book ID
- 120604868
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 135 KB
- Volume
- 58
- Category
- Article
- ISSN
- 1747-6933
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π SIMILAR VOLUMES
## Abstract We consider a class of elliptic inclusions under Dirichlet boundary conditions involving multifunctions of Clarke's generalized gradient. Under conditions given in terms of the first eigenvalue as well as the FuΔik spectrum of the __p__ βLaplacian we prove the existence of a positive, a
For the 2nth-order boundary value problem c~y (2i) (0) -fliy (2i+1) (0) = a~y (2i) (1) +/3~y (2i+1) (1) = 0, O 1, growth conditions are imposed on f which yield the existence of at least two symmetric positive solutions by using the fixed-point theorem in double cones.