Results 21 to 30 of about 237 (92)

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
core   +1 more source

Existence of fast homoclinic orbits for a class of second-order non-autonomous problems

Boundary Value Problems, 2014
By applying the mountain pass theorem and the symmetric mountain pass theorem in critical point theory, the existence and multiplicity of fast homoclinic solutions are obtained for the following second-order non-autonomous problem: u¨(t)+q(t)u˙(t)−a(t)|u(
Qiongfen Zhang, Qi-Ming Zhang, Xianhua Tang   +2 more
semanticscholar   +2 more sources

Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients [PDF]

, 2016
We consider the nonlinear curl-curl problem $\nabla\times\nabla\times U + V(x) U=f(x,|U|^2)U$ in $\mathbb{R}^3$ related to the nonlinear Maxwell equations with Kerr-type nonlinear material laws.
Hirsch, Andreas, Reichel, Wolfgang
core   +3 more sources

Infinitely many periodic solutions for ordinary p-Laplacian systems

Advances in Nonlinear Analysis, 2015
Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
doaj   +1 more source

Sharp estimates for the first $p$-Laplacian eigenvalue and for the $p$-torsional rigidity on convex sets with holes

, 2020
We study, in dimension $n\geq2$, the eigenvalue problem and the torsional rigidity for the $p$-Laplacian on convex sets with holes, with external Robin boundary conditions and internal Neumann boundary conditions.
Paoli, Gloria, Piscitelli, Gianpaolo, Trani, Leonardo   +2 more
core   +1 more source

Action minimizing fronts in general FPU-type chains [PDF]

, 2010
We study atomic chains with nonlinear nearest neighbour interactions and prove the existence of fronts (heteroclinic travelling waves with constant asymptotic states).
A. Pankov, A. Pankov, A. Vainchtein, A.-M. Filip, A.M. Balk, A.M. Balk, C.F. Kreiner, C.F. Kreiner, D. Smets, E. Trofimov, G. Friesecke, G. Friesecke, G. Iooss, G. Iooss, H. Schwetlick, H. Schwetlick, L. Slepyan, L. Truskinovsky, L. Truskinovsky, L. Truskinovsky, L. Truskinovsky, M. Herrmann, M. Herrmann, Michael Herrmann, P.G. LeFloch, W. Dreyer   +25 more
core   +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

On the Fractional NLS Equation and the Effects of the Potential Well’s Topology

Advanced Nonlinear Studies, 2021
In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
doaj   +1 more source

An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes

, 2020
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco, Piscitelli, Gianpaolo   +1 more
core   +1 more source

On a version of Trudinger-Moser inequality with M\"obius shift invariance [PDF]

, 2009
The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentration compactness framework. We study properties of the improved version of
Adimurthi, Tintarev, K.
core   +2 more sources