Results 21 to 30 of about 686 (101)
The fractional Hartree equation without the Ambrosetti-Rabinowitz condition [PDF]
, 2016 We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition.
Francesconi, Mauro, Mugnai, Dimitri
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International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 429-438, 2002., 2002 Let H be a Hilbert space such that H = V ⊕ W, where V and W are two closed subspaces of H. We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990‐1991) to the case where V and W are not necessarily finite dimensional.
H. Boukhrisse, M. Moussaoui
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Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
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Advances in Nonlinear Analysis, 2022 This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
, 2011 In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
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On the existence of solutions to a fourth‐order quasilinear resonant problem
Abstract and Applied Analysis, Volume 7, Issue 3, Page 125-133, 2002., 2002 By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p‐harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.
Shibo Liu, Marco Squassina
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Homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
Advances in Differential Equations, 2013 In the present paper, we deal with the existence and multiplicity of homoclinic solutions of the second-order self-adjoint discrete Hamiltonian system △[p(n)△u(n−1)]−L(n)u(n)+∇W(n,u(n))=0.
Xiaoyan Lin, Xianhua Tang
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A version of Zhong′s coercivity result for a general class of nonsmooth functionals
Abstract and Applied Analysis, Volume 7, Issue 11, Page 601-612, 2002., 2002 A version of Zhong′s coercivity result (1997) is established for nonsmooth functionals expressed as a sum Φ + Ψ, where Φ is locally Lipschitz and Ψ is convex, lower semicontinuous, and proper. This is obtained as a consequence of a general result describing the asymptotic behavior of the functions verifying the above structure hypothesis.
D. Motreanu, V. V. Motreanu, D. Paşca
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New potential condition on homoclinic orbits for a class of discrete Hamiltonian systems
Advances in Differential Equations, 2014 In the present paper, we establish an existence criterion to guarantee that the second-order self-adjoint discrete Hamiltonian system △[p(n)△u(n−1)]−L(n)u(n)+∇W(n,u(n))=0 has a nontrivial homoclinic solution, which does not need periodicity and ...
Xiaoping Wang
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Semilinear elliptic equations having asymptotic limits at zero and infinity
Abstract and Applied Analysis, Volume 4, Issue 4, Page 231-242, 1999., 1999 We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.
Kanishka Perera, Martin Schechter
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