Results 121 to 130 of about 317,499 (205)

Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents

Electronic Journal of Differential Equations, 2012
In this article, we establish the existence of at least four solutions to a singular system with a concave term, a critical Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions. Our main tools are the Nehari manifold and the mountain
Mohammed E. O. El Mokhtar
doaj  

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
doaj  

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]

ScientificWorldJournal, 2014
Sun G, Mai A.
europepmc   +1 more source

Multiplicity results for a critical and subcritical system involving fractional $p$-Laplacian operator via Nehari manifold method

Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2022
Zediri Sounia, Akrout Kamel, Ghanmi Abdeljabbar   +2 more
semanticscholar   +1 more source

Multiple solutions for a singular quasilinear elliptic system. [PDF]

ScientificWorldJournal, 2013
Chen L, Chen C, Xiu Z.
europepmc   +1 more source

Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities

Electronic Journal of Differential Equations, 2014
In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
doaj  

Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems

Electronic Journal of Differential Equations, 2016
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms.
Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
doaj  

The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth

, 2021
David G. Costa, João Marcos do Ó, Pawan Kumar Mishra   +2 more
openalex   +1 more source

Ground state solutions for asymptotically periodic Schrodinger-Poisson systems in R^2

Electronic Journal of Differential Equations, 2018
This article concerns the planar Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+\phi u=f(x,u), \quad x\in \mathbb{R}^2,\cr \Delta \phi= u^2, \quad x\in \mathbb{R}^2, } $$ where V(x) and f(x, u) are periodic or asymptotically periodic in
Jing Chen, Sitong Chen, Xianhua Tang
doaj