Results 41 to 50 of about 15,857,552 (384)
Nonlocal problems at critical growth in contractible domains
, 2015 We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.Comment: 17 ...
Mosconi, Sunra +2 more
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Spatial-temporal evolution of the current filamentation instability [PDF]
, 2015 The spatial-temporal evolution of the purely transverse current filamentation instability is analyzed by deriving a single partial differential equation for the instability and obtaining the analytical solutions for the spatially and temporally growing ...
Fonseca, R. A. +4 more
core +2 more sources
Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the existence of ground state sign-changing solutions for the following fourth-order elliptic equations of Kirchhoff type with critical exponent. More precisely, we consider \begin{equation*} \begin{cases} \Delta^2u - \left(1 +
Sihua Liang, Binlin Zhang
doaj +1 more source
The Critical Periphery in the Growth of Social Protests
PLOS ONE, 2015 Social media have provided instrumental means of communication in many recent political protests. The efficiency of online networks in disseminating timely information has been praised by many commentators; at the same time, users are often derided as "slacktivists" because of the shallow commitment involved in clicking a forwarding button.
Barberá, Pablo +6 more
openaire +4 more sources
INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH
The Journal of Applied Analysis and Computation, 2019 In this paper, we are concerned with the following SchrödingerPoisson-Slater problem with critical growth: −∆u+ (u ? 1 |4πx| )u = μk(x)|u| u+ |u|u in R. We use a measure representation concentration-compactness principle of Lions to prove that the (PS)c ...
Liu Yang, Zhisu Liu
semanticscholar +1 more source
Ground state solutions for a fractional Schrödinger equation with critical growth [PDF]
Asymptotic Analysis, 2016 In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation ( − Δ ) s u + V ( x ) u = f ( u ) in R N , where s ∈ ( 0 , 1 ) , N > 2 s , ( − Δ ) s is the fractional Laplacian, V : R N →
V. Ambrosio, G. Figueiredo
semanticscholar +1 more source
N-Laplacian equations in ℝN with critical growth
Abstract and Applied Analysis, 1997 We study the existence of nontrivial solutions to the following problem: {u∈W1,N(ℝN),u≥0 and−div(|∇u|N−2∇u)+a(x)|u|N−2u=f(x,u) in ℝN(N≥2), where a is a continuous function which is coercive, i.e., a(x)→∞ as |x|→∞ and the nonlinearity f behaves like ...
João Marcos B. do Ó
doaj +1 more source
Early warning signal for interior crises in excitable systems
, 2017 The ability to reliably predict critical transitions in dynamical systems is a long-standing goal of diverse scientific communities. Previous work focused on early warning signals related to local bifurcations (critical slowing down) and non-bifurcation ...
Bialonski, Stephan +2 more
core +1 more source
Time Asymptotics for a Critical Case in Fragmentation and Growth-Fragmentation Equations [PDF]
, 2015 Fragmentation and growth-fragmentation equations is a family of problems with varied and wide applications. This paper is devoted to description of the long time time asymptotics of two critical cases of these equations, when the division rate is ...
Doumic, Marie, Escobedo, Miguel
core +7 more sources
Topological Methods in Nonlinear Analysis, 2019 We establish a version of the Trudinger-Moser inequality involving unbounded or decaying radial weights in weighted Sobolev spaces. In the light of this inequality and using a minimax procedure we also study existence of solutions for a class of ...
F. Albuquerque, S. Aouaoui
semanticscholar +1 more source