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 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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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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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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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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Publisher Correction to: A Mountain-Pass Theorem for Asymptotically Conical Self-Expanders [PDF]
, 2022 Jacob Bernstein, Lu Wang
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Soliton Solutions for Quasilinear Schrödinger Equations
Journal of Applied Mathematics, 2013 By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
Junheng Qu
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
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On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems [PDF]
, 2017 Liang Ding, Jinlong Wei, Shiqing Zhang
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Existence of solutions for Kirchhoff type equations
Electronic Journal of Differential Equations, 2015 In this article, we prove the existence of solutions for Kirchhoff type equations with Dirichlet boundary-value condition. We use the Mountain Pass Theorem in critical point theory, without the (PS) condition.
Qi-Lin Xie, Xing-Ping Wu, Chun-Lei Tang
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