Results 31 to 40 of about 60 (54)

On a Class of Reaction-Diffusion Equations with Aggregation

Advanced Nonlinear Studies, 2021
In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li, Desvillettes Laurent, Latos Evangelos   +2 more
doaj   +1 more source

Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms

Open Mathematics
In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
Liang Jin-Ping, Wang Ran-Ran, Wang Yue
doaj   +1 more source

On the solutions of a singular elliptic equation concentrating on a circle

Advances in Nonlinear Analysis, 2014
Let A={x∈ℝ2N+2 ...
Manna Bhakti B., Srikanth P. Chakravarthy   +1 more
doaj   +1 more source

On singular solutions of Lane-Emden equation on the Heisenberg group

Advanced Nonlinear Studies, 2023
By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: ΔHu+up=0,inHn\{0}{\Delta }_{{\mathbb{H}}}u+{u}^{p}=0\left,\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0 ...
Wei Juncheng, Wu Ke
doaj   +1 more source

Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth

Advances in Nonlinear Analysis
In this paper, we are concerned with the following fractional relativistic Schrödinger equation with critical growth: (−Δ+m2)su+V(εx)u=f(u)+u2s*−1inRN,u∈Hs(RN),u>0inRN,\left\{\begin{array}{ll}{\left(-\Delta +{m}^{2})}^{s}u+V\left(\varepsilon x)u=f\left(u)
Ambrosio Vincenzo
doaj   +1 more source

A class of semipositone p-Laplacian problems with a critical growth reaction term

Advances in Nonlinear Analysis, 2019
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka, Shivaji Ratnasingham, Sim Inbo   +2 more
doaj   +1 more source

A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity

Open Mathematics
This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li, Chen Renhua, Zhong Qiaocheng, Wang Jun, Li Fang   +4 more
doaj   +1 more source

The Hénon–Lane–Emden System: A Sharp Nonexistence Result

Advanced Nonlinear Studies, 2017
We deal with very weak positive supersolutions to the Hénon–Lane–Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.
Carioli Andrea, Musina Roberta
doaj   +1 more source

Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations

Advances in Nonlinear Analysis, 2020
This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph, Miyake Nobuhito, Okabe Shinya   +2 more
doaj   +1 more source

Normalized solutions for the double-phase problem with nonlocal reaction

Advances in Nonlinear Analysis
In this article, we consider the double-phase problem with nonlocal reaction. For the autonomous case, we introduce the methods of the Pohozaev manifold, Hardy-Littlewood Sobolev subcritical approximation, adding the mass term to prove the existence and ...
Cai Li, Zhang Fubao
doaj   +1 more source