Results 21 to 30 of about 195 (91)
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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Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity
Advances in Differential Equations, 2014 In this paper, by using some different asymptotically linear conditions from those previously used in Hamiltonian systems, we obtain the existence of nontrivial homoclinic orbits for a class of second order Hamiltonian systems by the variational method ...
Guanwei Chen
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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
wiley +1 more source
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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Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting
, 2017 In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri.
G. Afrouzi, J. Graef, S. Shokooh
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Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
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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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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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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
Moroccan Journal of Pure and Applied Analysis, 2020 Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
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Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
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