Search Results - "Liu, Guanggang"

Periodic solutions of second order Hamiltonian systems with nonlinearity of general linear growth by Liu, Guanggang

“…In this paper we consider a class of second order Hamiltonian system with the nonlinearity of linear growth. Compared with the existing results, we do not…”
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Multiplicity of Periodic Solutions for a Class of New Super-quadratic Damped Vibration Problems by Jiang, Shan, Xu, Huijuan, Liu, Guanggang

“…In this paper, we study the following damped vibration problem x ̈ + ( q ( t ) I N × N + B ) x ̇ + 1 2 q ( t ) B − A ( t ) x + H x ( t , x ) = 0 , t ∈ ℝ , x (…”
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Periodic solutions for a class of asymptotically linear damped vibration problems with resonance at infinity by Wang, Yuanhao, Zhang, Zihan, Liu, Guanggang

“…In this paper, we consider a class of asymptotically linear damped vibration problems with resonance at infinity. Compared with the existing results, under…”
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Existence of Homoclinic Solutions for a Class of Damped Vibration Problems by Xu, Huijuan, Jiang, Shan, Liu, Guanggang

“…In this paper, we consider the existence of homoclinic solution for a class of damped vibration problem x ¨ ( t ) + ( q ( t ) I N × N + B ) x ˙ ( t ) + 1 2 q (…”
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Infinitely many homoclinic solutions for a class of damped vibration problems by Xu, Huijuan, Jiang, Shan, Liu, Guanggang

“…In this paper, we consider the multiplicity of homoclinic solutions for the following damped vibration problems x ¨ ( t ) + B x ˙ ( t ) − A ( t ) x ( t ) + H x…”
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Semilinear elliptic equations with dependence on the gradient by Guanggang Liu, Shaoyun Shi, Yucheng Wei

“…In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a…”
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Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition by Liu, Guanggang, Li, Yong, Yang, Xue

“…In this paper, we consider rotating periodic solutions of the Hamiltonian systemx˙=JH′(t,x),x∈R2N, having the form x(t+T)=Qx(t),∀t∈R, for some T>0 and a…”
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Rotating periodic solutions for asymptotically linear second‐order Hamiltonian systems with resonance at infinity by Liu, Guanggang, Li, Yong, Yang, Xue

“…In this paper, we consider a class of asymptotically linear second‐order Hamiltonian system with resonance at infinity. We will use Morse theory combined with…”
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Infinitely Many Rotating Periodic Solutions for Second-Order Hamiltonian Systems by Liu, Guanggang, Li, Yong, Yang, Xue

“…In this paper, we consider a class of second-order Hamiltonian system in ℝ N with combined nonlinearities. We will study the multiplicity of rotating periodic…”
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Multiplicity of Solutions for Kirchhoff-Type Problem with Two-Superlinear Potentials by Liu, Guanggang, Shi, Shaoyun, Wei, Yucheng

“…In this paper we consider a class of Kirchhoff-type problem with 2-superlinear potentials. The existence of one positive solution and one negative solution…”
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Sign-Changing Solutions for Semilinear Elliptic Equations with Dependence on the Gradient Via the Nehari Method by Liu, Guanggang, Shi, Shaoyun, Wei, Yucheng

“…In this paper, we consider a class of elliptic equation with dependence on the gradient. The existence of sign-changing solutions is established via the Nehari…”
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The existence of seven solutions for a superlinear elliptic boundary value problem without symmetries by Liu, Guanggang, Shi, Shaoyun

“…In this paper we study the multiplicity of nontrivial solutions for a superlinear elliptic boundary value problem. By combining truncation techniques, minimax…”
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Existence and multiplicity results for partially superquadratic elliptic systems by Wei, Yucheng, Shi, Shaoyun, Liu, Guanggang

“…In this paper we establish the existence and multiplicity of solutions for a class of partially superquadratic elliptic systems by using the Morse theory…”
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Multiplicity result for asymptotically linear noncooperative elliptic systems by Liu, Guanggang, Shi, Shaoyun, Wei, Yucheng

“…In this paper, we obtain a multiplicity result for a class of asymptotically linear noncooperative elliptic systems by using saddle point reduction technique…”
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