Results 21 to 30 of about 1,141 (123)
Cascades and perturbed Morse–Bott functions [PDF]
, 2011 Let fW M ! R be a Morse‐Bott function on a finite-dimensional closed smooth manifold M . Choosing an appropriate Riemannian metric on M and Morse‐Smale functions fjW Cj!
A. Banyaga, D. Hurtubise
semanticscholar +1 more source
Boundary value problem with fractional p-Laplacian operator
Advances in Nonlinear Analysis, 2016 The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj +1 more source
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
semanticscholar +1 more source
Advances in Differential Equations, 2014 By means of critical point theory and some analysis methods, the existence of homoclinic solutions for the p-Laplacian system with delay, ddt[|u′(t)|p−2u′(t)]=∇xG(t,u(t),u(t+τ))+∇yG(t−τ,u(t−τ),u(t))+e(t), is investigated.
Shiping Lu, Ming Lu
semanticscholar +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
semanticscholar +2 more sources
Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term
Moroccan Journal of Pure and Applied Analysis, 2020 This paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ.
Laghzal Mohamed +3 more
doaj +1 more source
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
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
semanticscholar +2 more sources