Results 1 to 10 of about 32,585 (217)

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

open access: yesAdvances 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

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

open access: yesElectronic 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   +2 more
doaj   +1 more source

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

open access: yesFractal 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   +3 more
doaj   +1 more source

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

open access: yesAdvanced 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   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +4 more
doaj   +1 more source

Sign Changing Solutions for Coupled Critical Elliptic Equations

open access: yesJournal of Function Spaces, 2020
In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
doaj   +1 more source

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

open access: yesBruno 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

Multiple Sign-Changing Solutions for Kirchhoff-Type Equations

open access: yesDiscrete 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   +1 more source

Ground state sign-changing solutions for a class of critical Kirchhoff-type equations with steep potential well

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this paper, we investigate the existence of ground state sign-changing solutions for Kirchhoff-type equation with critical exponent \begin{equation*} -\left(a+b\int_{\mathbb{R}^3}|\nabla u|^2 dx\right)\Delta u+\lambda V(x)u=|u|^{4}u+\mu f(u),\quad x ...
Sheng-Xin Liu, Jia-Feng Liao
doaj   +1 more source

Ovarian Sex Cord Stromal Tumors in Children and Adolescents—The European Standard Clinical Practice Recommendations

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider   +15 more
wiley   +1 more source

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