Results 91 to 100 of about 1,013 (119)

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

open access: yesAdvanced 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

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

open access: yesAdvances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia   +2 more
doaj   +1 more source

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

open access: yesAdvanced Nonlinear Studies
In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
doaj   +1 more source

Normalized solutions for the double-phase problem with nonlocal reaction

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the double-phase problem with nonlocal reaction. For the autonomous case, we introduce the methods of the Pohozaev manifold, Hardy-Littlewood Sobolev subcritical approximation, adding the mass term to prove the existence and ...
Cai Li, Zhang Fubao
doaj   +1 more source

Degenerate Elastic Networks. [PDF]

open access: yesJ Geom Anal, 2021
Del Nin G, Pluda A, Pozzetta M.
europepmc   +1 more source

Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

open access: yes, 2016
We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
core  

Existence results for non-coercive problems

open access: yesAdvances in Nonlinear Analysis
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef   +2 more
doaj   +1 more source

Standing waves for Choquard equation with noncritical rotation

open access: yesAdvances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

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