Results 21 to 30 of about 222 (73)

Homoclinic standing waves in focussing DNLS equations --Variational approach via constrained optimization [PDF]

, 2011
We study focussing discrete nonlinear Schr\"{o}dinger equations and present a new variational existence proof for homoclinic standing waves (bright solitons).
A. Khare, A. Pankov, A. Pankov, A. Pankov, A. Pankov, C. A. Stuart, D. E. Pelinovsky, D. E. Pelinovsky, G. Zhang, G. Zhang, H. Shi, J. A. Pava, J. C. Eilbeck, J. Ch. Eilbeck, J. Dorignac, J. Yang, M. A. Porter, M. Herrmann, M. I. Weinstein, M. I. Weinstein, Michael Herrmann, P. G. Kevrekidis, P. G. Kevrekidis, P. G. Kevrekidis, P. G. Kevrekidis, P.-L. Lions, R. S. MacKay, S. Aubry, S. Flach, W. Bao, W.-X. Qin   +30 more
core   +1 more source

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

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 variational nonlinear equations with monotone operators

Advances in Nonlinear Analysis, 2020
Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
doaj   +1 more source

Existence and Multiplicity Results for a Class of Coupled Quasilinear Elliptic Systems of Gradient Type

Advanced Nonlinear Studies, 2021
The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria, Salvatore Addolorata, Sportelli Caterina   +2 more
doaj   +1 more source

Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket

, 2012
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpinski gasket is proved.
G. Bonanno, Giovanni Molica Bisci, Vicentiu D. Rădulescu   +2 more
semanticscholar   +1 more source

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 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

Multiple solutions for a class of oscillatory discrete problems

Advances in Nonlinear Analysis, 2015
In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
doaj   +1 more source