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
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
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
Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]
ScientificWorldJournal, 2014 Sun G, Mai A.
europepmc +1 more source
Multiple solutions for a singular quasilinear elliptic system. [PDF]
ScientificWorldJournal, 2013 Chen L, Chen C, Xiu Z.
europepmc +1 more source
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
The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations [PDF]
Samah Horrigue +2 more
openalex +1 more source
Quasilinear asymptotically linear Schrodinger problem R^N without monotonicity
Electronic Journal of Differential Equations, 2018 We establish existence and non-existence results for a quasilinear asymptotically linear Schrodinger problem. In the first result, we prove that a minimization problem constrained to the Pohozaev manifold is not achieved.
Olimpio H. Miyagaki +2 more
doaj
The Nehari manifold approach for multiplicity of positive solutions to semilinear elliptic system involving multi-singular inverse square potentials with Sobolev critical exponent [PDF]
, 2017 A. Akhavan, Hamidreza Rahimi
openalex +1 more source