Results 41 to 50 of about 222 (73)

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

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   +5 more sources

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

Existence and multiplicity of solutions for a class of superlinear elliptic systems

Advances in Nonlinear Analysis, 2018
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
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

Multiplicity results for elliptic Kirchhoff-type problems

Advances in Nonlinear Analysis, 2017
The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff-type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small ...
Baraket Sami, Molica Bisci Giovanni
doaj   +1 more source

Critical point result of Schechter type in a Banach space [PDF]

, 2016
Using Ekeland's variational principle we give a critical point theorem of Schechter type for extrema on a sublevel set in a Banach space.
Lisei, Hannelore, Vas, Orsolya
core   +2 more sources

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj   +1 more source

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

Advanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun, Nie Zhaohu, Wang Zhi-Qiang   +2 more
doaj   +1 more source