Results 61 to 70 of about 187 (121)

lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

Open Mathematics, 2017
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in ...
Li Peiluan, Shang Youlin
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

A Nested Uzawa Solver for a Dual-Dual Mixed Finite Element Method for Frictional Contact Problems in Linear Elasticity

MSC 2020: 35A15; 65K15; 74B05; 74M10; 74M15.For a dual-dual formulation of a frictional contact problem in linear elasticity we present a mixed finite element method based on PEERS elements and we analyze the performance of a nested Uzawa ...
Maischak, M, Stephan, EP, Andres, M
core   +1 more source

Normalized solutions for a class of fractional Choquard equations with mixed nonlinearities

Demonstratio Mathematica
In this paper we study the following fractional Choquard equation with mixed nonlinearities:(−Δ)su=λu+αIμ∗|u|q|u|q−2u+Iμ∗|u|p|u|p−2u,x∈RN,∫RN|u|2dx=c2>0.
Chen Shaoxiong, Yang Zhipeng, Zhang Xi
doaj   +1 more source

Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth

Open Mathematics
In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
doaj   +1 more source

Bubbles clustered inside for almost-critical problems

Open Mathematics
We investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
doaj   +1 more source

Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms

Open Mathematics
In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
Liang Jin-Ping, Wang Ran-Ran, Wang Yue
doaj   +1 more source

Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience. [PDF]

J Sci Comput, 2023
Chen X, Tran AP, Elkin R, Benveniste H, Tannenbaum AR.   +4 more
europepmc   +1 more source

New multiplicity results in prescribing Q-curvature on standard spheres

Advanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]

Heliyon, 2023
Berrone S, Canuto C, Pintore M, Sukumar N.   +3 more
europepmc   +1 more source