Results 71 to 80 of about 729 (179)
Existence of nontrivial solutions for a class of elliptic systems
Electronic Journal of Differential Equations, 2013 Using a version of the generalized mountain pass theorem, we obtain the existence of nontrivial solutions for a class of superquadratic elliptic systems.
Chun Li, Zeng-Qi Ou, Chun-Lei Tang
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Existence of Multiple Solutions for a Class of Biharmonic Equations
Discrete Dynamics in Nature and Society, 2013 By a symmetric Mountain Pass Theorem, a class of biharmonic equations with Navier type boundary value at the resonant and nonresonant case are discussed, and infinitely many solutions of the equations are obtained.
Chunhan Liu, Jianguo Wang
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Multiple periodic solutions for a fourth-order discrete Hamiltonian system [PDF]
Surveys in Mathematics and its Applications, 2010 By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system Δ4u(t-2)+∇ F(t,u(t))=0 ...
Yongkun Li, Jianwen Zhou
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Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
Boundary Value Problems, 2018 By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.
Chunhua Deng, Dong-Lun Wu
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Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach
Abstract and Applied Analysis, 2012 By establishing the corresponding variational framework and using the mountain pass theorem, linking theorem, and Clark theorem in critical point theory, we give the existence of multiple solutions for a fractional difference boundary value problem with ...
Zuoshi Xie, Yuanfeng Jin, Chengmin Hou
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Boundary Value Problems, 2017 In this paper, we investigate a class of second-order p ( t ) $p(t)$ -Laplacian systems with local ‘superquadratic’ potential. By using the generalized mountain pass theorem, we obtain an existence result for nonconstant periodic solutions.
Yukun An, Yuanfang Ru, Fanglei Wang
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Multiple Solutions for a Class of Fractional Schrödinger-Poisson System
Journal of Function Spaces, 2019 We investigate a class of fractional Schrödinger-Poisson system via variational methods. By using symmetric mountain pass theorem, we prove the existence of multiple solutions.
Lizhen Chen, Anran Li, Chongqing Wei
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Ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems
Boundary Value Problems, 2018 This paper is concerned with the existence of ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems in R3 $\mathbb {R}^{3}$ which have appeared in plasma physics, as well as in the description of high-power ultrashort ...
Liejun Shen
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Existence of positive solutions for superlinear p-Laplacian equations
Electronic Journal of Differential Equations, 2015 We obtain a positive solution for a superlinear p-Laplacian equations with the Dirichlet boundary-value conditions. Our main tool is a variation of the mountain pass theorem.
Ting-Mei Gao, Chun-Lei Tang
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Advances in Difference Equations, 2019 In this paper, we study the following nonlinear Klein–Gordon–Maxwell system: {−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+λh(x)|u|q−2u,x∈R3,Δϕ=(ω+ϕ)u2,x∈R3,(Pλ) $$ \textstyle\begin{cases} -\Delta u+ V(x)u-(2\omega +\phi )\phi u = f(x,u)+\lambda h(x) \vert u \vert ^{q-2}u,
Chongqing Wei, Anran Li
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