Results 31 to 40 of about 439 (54)

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

Advanced 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
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Some remarks about the summability of nonlocal nonlinear problems

Advances in Nonlinear Analysis, 2015
In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña, Peral Ireneo, Vita Stefano   +2 more
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Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

Advanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
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p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities

Advances in Nonlinear Analysis, 2018
This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator.
Fiscella Alessio, Pucci Patrizia, Zhang Binlin   +2 more
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A note on global regularity for the weak solutions of fractional p-Laplacian equations

, 2015
We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\"older regularity up to the boundary for the weak solutions, both in the singular (12) case.Comment:
Iannizzotto, Antonio, Mosconi, Sunra, Squassina, Marco   +2 more
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Existence Results for a critical fractional equation

, 2016
We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica, Hajaiej, Hichem, Vilasi, Luca   +2 more
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Sequences of weak solutions for fractional equations [PDF]

, 2013
This work is devoted to study the existence of infinitely many weak solutions to nonlocal equations involving a general integrodifferential operator of fractional type.
Bisci, Giovanni Molica
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Boundary regularity, Pohozaev identities, and nonexistence results

, 2017
In this expository paper we survey some recent results on Dirichlet problems of the form $Lu=f(x,u)$ in $\Omega$, $u\equiv0$ in $\mathbb R^n\backslash\Omega$. We first discuss in detail the boundary regularity of solutions, stating the main known results
Ros-Oton, Xavier
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Standing waves for Choquard equation with noncritical rotation

Advances 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
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Perturbations of Functional Inequalities for L\'evy Type Dirichlet Forms [PDF]

, 2015
Perturbations of super Poincar\'e and weak Poincar\'e inequalities for L\'evy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to the corresponding ones derived earlier for diffusion processes; and we
Chen, Xin, Wang, Feng-Yu, Wang, Jian
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