Results 31 to 40 of about 222 (76)

On variational nonlinear equations with monotone operators

open access: yesAdvances 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

Multiple solutions for a class of oscillatory discrete problems

open access: yesAdvances 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

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

open access: yes, 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

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

open access: yesBoundary Value Problems, 2014
This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence ...
Li Li, Kai Chen
semanticscholar   +1 more source

Periodic travelling waves in convex Klein-Gordon chains

open access: yes, 2009
We study Klein-Gordon chains with attractive nearest neighbour forces and convex on-site potential, and show that there exists a two-parameter family of periodic travelling waves (wave trains) with unimodal and even profile functions. Our existence proof
Bates   +10 more
core   +1 more source

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

open access: yes, 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   +25 more
core   +1 more source

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

open access: yes, 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   +2 more
core   +1 more source

One‐sided resonance for quasilinear problems with asymmetric nonlinearities

open access: yes, 2002
Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley   +1 more source

Nonlinear problems on the Sierpi\'nski gasket

open access: yes, 2017
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods.
Ambrosetti   +31 more
core   +1 more source

Thresholds for breather solutions on the Discrete Nonlinear Schr\"odinger Equation with saturable and power nonlinearity [PDF]

open access: yes, 2007
We consider the question of existence of periodic solutions (called breather solutions or discrete solitons) for the Discrete Nonlinear Schr\"odinger Equation with saturable and power nonlinearity.
Cuevas, J.   +2 more
core   +3 more sources

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