Results 81 to 90 of about 1,117,308 (199)
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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A quantitative Chevalley-Weil theorem for curves [PDF]
, 2013 The classical Chevalley-Weil theorem asserts that for an étale covering of projective varieties over a number field $K$, the discriminant of the field of definition of the fiber over a $K$-rational point is uniformly bounded.
Surroca, Andrea +2 more
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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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Global invertibility and implicit function theorems by mountain pass theorem
, 2015 We formulate some global invertibility and implicit function theorems. We extend the result of Idczak, Skowron and Walczak on the invertibility of the operators to the case of the operators with critical points. The proof relies on the Mountain Pass Theorem combined with the Palais-Smale condition guaranteeing the claim by the invertibility of the ...
Bors, Dorota, Stańczy, Robert
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Solutions of mountain pass type for double well potential systems
, 2018 This paper studies a Hamiltonian system possessing a double well potential for which the existence of multitransition heteroclinic and homoclinic solutions that are local minimizers of an associated functional is known.
Piero Montecchiari, Paul H. Rabinowitz
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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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