Results 1 to 10 of about 205 (28)

A fractional Kirchhoff problem involving a singular term and a critical nonlinearity [PDF]

Advances in Nonlinear Analysis, 2017
In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
doaj   +2 more sources

High energy solutions of general Kirchhoff type equations without the Ambrosetti-Rabinowitz type condition

Advances in Nonlinear Analysis, 2023
In this article, we study the following general Kirchhoff type equation: −M∫R3∣∇u∣2dxΔu+u=a(x)f(u)inR3,-M\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}| \nabla u{| }^{2}{\rm{d}}x\right)\Delta u+u=a\left(x)f\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\
Zhang Jian, Liu Huize, Zuo Jiabin
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Infinitely many solutions for non-local problems with broken symmetry

Advances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella, De Nápoli Pablo L., Salvatore Addolorata   +2 more
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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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Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition

Advances in Nonlinear Analysis, 2017
We look for solutions of (-△)s⁢u+f⁢(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1⁢(Ω){L^{1}(\Omega)} and
Abatangelo Nicola
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On the fractional p-Laplacian equations with weight and general datum

Advances in Nonlinear Analysis, 2016
The aim of this paper is to study the following problem:
Abdellaoui Boumediene, Attar Ahmed, Bentifour Rachid   +2 more
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Kirchhoff–Hardy Fractional Problems with Lack of Compactness

Advanced Nonlinear Studies, 2017
This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical ...
Fiscella Alessio, Pucci Patrizia
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Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems

Forum of Mathematics, Sigma
We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a compatibility operator for Lie derivatives of the metric tensor. This problem
Raz Kupferman, Roee Leder
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Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
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Design of a hesitant movement gesture for mobile robots. [PDF]

PLoS One, 2021
Reinhardt J, Bengler K.
europepmc   +1 more source