Results 11 to 20 of about 225 (63)
Advances in Nonlinear Analysis, 2015 In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
doaj +1 more source
A Generalized Version of the Lions-Type Lemma
Annales Mathematicae Silesianae, 2023 In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
doaj +1 more source
Multiple solutions of $p$-biharmonic equations with Navier boundary conditions [PDF]
Complex Var. Elliptic Equ. 59:2 (2014), 271-284, 2016 In this paper, exploiting variational methods, the existence of multiple weak solutions for a class of elliptic Navier boundary problems involving the $p$-biharmonic operator is investigated. Moreover, a concrete example of an application is presented.
arxiv +1 more source
Moroccan Journal of Pure and Applied Analysis, 2023 We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)
Jennane Mohsine, Alaoui My Driss Morchid
doaj +1 more source
Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space
Advanced Nonlinear Studies, 2017 In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C1{C^{1}}-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u↦div(∇u1-|∇u|2)
Gurban Daniela +2 more
doaj +1 more source
Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators [PDF]
Discrete Contin. Dyn. Syst. Ser. S 12:2 (2019), 401-411, 2018 We are concerned with the existence of infinitely many radial symmetric solutions for a nonlinear stationary problem driven by a new class of nonhomogeneous differential operators. Our proof relies on the symmetric version of the mountain pass theorem.
arxiv +1 more source
Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
Nonautonomous Dynamical Systems, 2020 We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa +3 more
doaj +1 more source
Construction of Solutions for Hénon-Type Equation with Critical Growth
Advanced Nonlinear Studies, 2021 We consider the following Hénon-type problem with critical growth:
Guo Yuxia, Liu Ting
doaj +1 more source
Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth
Advanced Nonlinear Studies, 2021 We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
doaj +1 more source
On fractional logarithmic Schrödinger equations
Advanced Nonlinear Studies, 2022 We study the following fractional logarithmic Schrödinger equation: (−Δ)su+V(x)u=ulogu2,x∈RN,{\left(-\Delta )}^{s}u+V\left(x)u=u\log {u}^{2},\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥1N\ge 1, (−Δ)s{\left(-\Delta )}^{s} denotes the fractional Laplace ...
Li Qi, Peng Shuangjie, Shuai Wei
doaj +1 more source