Results 71 to 80 of about 781 (177)
Mountain pass theorem with infinite discrete symmetry
Osaka Journal of Mathematics, 2016 The Mountain Pass Theorem is one of the fundamental results of calculus of variations and nonlinear analysis, used to establish the existence of critical points (of higher index) with numerous applications in many areas of mathematics. The paper under review extends the classical formulation of this theorem to an equivariant setting, regarding ...
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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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A mountain pass theorem without Palais–Smale condition
Comptes Rendus. Mathématique, 2005 Given a Hilbert space ( H , 〈 ⋅ , ⋅ 〉 ) , Λ
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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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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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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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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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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 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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