Results 1 to 10 of about 31,354 (258)

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

Advanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun, Nie Zhaohu, Wang Zhi-Qiang   +2 more
doaj   +3 more sources

Multiple Sign-Changing Solutions for Kirchhoff-Type Equations [PDF]

Discrete Dynamics in Nature and Society, 2015
We study the following Kirchhoff-type equations -a+b∫Ω∇u2dxΔu+Vxu=fx,u, in Ω, u=0, in ∂Ω, where Ω is a bounded smooth domain of RN  (N=1,2,3), a>0, b≥0, f∈C(Ω¯×R,R), and V∈C(Ω¯,R).
Xingping Li, Xiumei He
doaj   +2 more sources

Sign changing solutions of the Hardy–Sobolev–Maz'ya equation

Advances in Nonlinear Analysis, 2014
In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy–Sobolev–Maz'ya (HSM) equation in bounded domain and involving critical growth.
Ganguly Debdip
doaj   +2 more sources

Sign Changing Solutions for Coupled Critical Elliptic Equations [PDF]

Journal of Function Spaces, 2020
In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
doaj   +3 more sources

Solutions for m-Point BVP with Sign Changing Nonlinearity [PDF]

Discrete Dynamics in Nature and Society, 2009
We study the existence of positive solutions for the following nonlinear m-point boundary value problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity: {(ϕ(u′(t)))′+a(t)f(t,u(t))=0 ...
Hua Su
doaj   +2 more sources

Ground state sign-changing solutions and infinitely many solutions for fractional logarithmic Schrödinger equations in bounded domains

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We consider a class of fractional logarithmic Schrödinger equation in bounded domains. First, by means of the constraint variational method, quantitative deformation lemma and some new inequalities, the positive ground state solutions and ground state ...
Yonghui Tong, Hui Guo, Giovany Figueiredo   +2 more
doaj   +1 more source

Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity

Journal of Function Spaces, 2020
In this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation.
Xinguang Zhang, Lixin Yu, Jiqiang Jiang, Yonghong Wu, Yujun Cui   +4 more
doaj   +1 more source

Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales

Fractal and Fractional, 2022
In this paper, we focus on the existence of positive solutions for a boundary value problem of the changing-sign differential equation on time scales. By constructing a translation transformation and combining with the properties of the solution of the ...
Hui Tian, Xinguang Zhang, Yonghong Wu, Benchawan Wiwatanapataphee   +3 more
doaj   +1 more source

New concentration phenomena for radial sign-changing solutions of fully nonlinear elliptic equations

Bruno Pini Mathematical Analysis Seminar, 2023
We present recent results about radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems posed in a ball, driven by the extremal Pucci's operators and provided with power zero order terms.
Fabiana Leoni
doaj   +1 more source

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási, Bernadett Borbála Huszti, Gábor Barna, Marko Kavcic, Janez Jazbec, Lennart Lenk, Vera Münch, Sophia Polychronopoulou, Ágnes Márk, Maria Thastrup, Lüder H. Meyer, Kjeld Schmiegelow, Cornelia Eckert, Christina Halsey, Dániel J. Erdélyi   +14 more
wiley   +1 more source