Results 21 to 30 of about 183 (55)

Periodic travelling waves in convex Klein-Gordon chains

, 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, Braun, Dauxois, Duncan, Iooss, Iooss, Iooss, Katriel, Michael Herrmann, Morgante, Pankov   +10 more
core   +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

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$ [PDF]

, 2012
It is known that, for the parabolic-elliptic Keller-Segel system with critical porous-medium diffusion in dimension $\RR^d$, $d \ge 3$ (also referred to as the quasilinear Smoluchowski-Poisson equation), there is a critical value of the chemotactic ...
Blanchet, Adrien, Laurençot, Philippe
core   +6 more sources

One‐sided resonance for quasilinear problems with asymmetric nonlinearities

, 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

, 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, Anello, Bonanno, Bonanno, Breckner, Breckner, Breckner, Breckner, Breckner, Breckner, Brézis, Dušan Repovš, Falconer, Falconer, Falconer, Ferrara, Fukushima, Giovanni Molica Bisci, He, Hu, Kristály, Molica Bisci, Pucci, Rabinowitz, Raffaella Servadei, Ricceri, Ricceri, Ricceri, Ricceri, Strichartz, Strichartz, Struwe   +31 more
core   +1 more source

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

, 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., Eilbeck, J. C., Karachalios, N. I.   +2 more
core   +3 more sources

A gradient flow approach to a thin film approximation of the Muskat problem [PDF]

, 2011
A fully coupled system of two second-order parabolic degenerate equations arising as a thin film approximation to the Muskat problem is interpreted as a gradient flow for the 2-Wasserstein distance in the space of probability measures with finite second ...
Laurencot, Philippe, Matioc, Bogdan-Vasile   +1 more
core   +6 more sources

Nash-type equilibria and periodic solutions to nonvariational systems

Advances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
doaj   +1 more source

A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows [PDF]

, 2016
In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined on the space of positive Radon measure with varying masses.
Ambrosio L., De Giorgi E., Hellinger E., Kinderlehrer D., Kondratyev S., Léonard Monsaingeon, Mérigot Q., Thomas O. Gallouët   +7 more
core   +2 more sources

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source