Results 61 to 70 of about 984 (92)

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

Elliptic semi-linear systems on R\sp N

, 2010
In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g.
Garrisi, Daniele
core  

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

Local versus nonlocal elliptic equations: short-long range field interactions

Advances in Nonlinear Analysis, 2020
In this paper we study a class of one-parameter family of elliptic equations which combines local and nonlocal operators, namely the Laplacian and the fractional Laplacian.
Cassani Daniele, Vilasi Luca, Wang Youjun   +2 more
doaj   +1 more source

Ground states for a fractional scalar field problem with critical growth

, 2016
We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
Ambrosio, Vincenzo
core  

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

Existence and multiplicity of solutions for fractional p-Laplacian equation involving critical concave-convex nonlinearities

Advanced Nonlinear Studies
We investigate the following fractional p-Laplacian convex-concave problem:(Pλ)(−Δ)psu=λ|u|q−2u+|u|ps*−2u inΩ,u=0 inRn\Ω,  $$\left({P}_{\lambda }\right) \begin{cases}\begin{aligned}\hfill {\left(-{\Delta}\right)}_{p}^{s}u& =\lambda \vert u{\vert
Ye Dong, Zhang Weimin
doaj   +1 more source

Poly(dA:dT) Tracts Differentially Modulate Nucleosome Remodeling Activity of RSC and ISW1a Complexes, Exerting Tract Orientation-Dependent and -Independent Effects. [PDF]

Int J Mol Sci, 2023
Amigo R, Raiqueo F, Tarifeño E, Farkas C, Gutiérrez JL.   +4 more
europepmc   +1 more source