Multiple Sign-Changing Solutions for Kirchhoff-Type Equations
Copyright policy )Multiple Sign-Changing Solutions for Kirchhoff-Type Equations
We study the following Kirchhoff-type equations-a+b∫Ω∇u2dxΔu+Vxu=fx,u, inΩ,u=0, in∂Ω, whereΩis a bounded smooth domain ofRN (N=1,2,3),a>0,b≥0,f∈C(Ω¯×R,R), andV∈C(Ω¯,R). Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign-changing. Furthermore, iffis odd with respect to its second variable, this problem has infinitely many sign-changing solutions.
- Kunming University China (People's Republic of)
- Yunnan Open University China (People's Republic of)
- Hunan Normal University China (People's Republic of)
- Gannan Normal University China (People's Republic of)
- Yunnan Normal University China (People's Republic of)
Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic equations, QA1-939, Nonlinear elliptic equations, Mathematics
Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic equations, QA1-939, Nonlinear elliptic equations, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!