Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents
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
In this article, we consider the singular p-biharmonic problem involving Hardy potential and critical Hardy–Sobolev exponent. Firstly, we study the existence of ground state solutions by using the minimization method on the associated Nehari manifold ...
Gurpreet Singh
doaj +1 more source
Some applications of the Nehari manifold method to functionals in $C^1(X \setminus \{0\})$ [PDF]
Edir Ferreira Leite +2 more
openalex +2 more sources
Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]
Shen L.
europepmc +1 more source
Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]
Sun G, Mai A.
europepmc +1 more source
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
Multiple solutions for a singular quasilinear elliptic system. [PDF]
Chen L, Chen C, Xiu Z.
europepmc +1 more source
Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities
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
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
NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION [PDF]
Xianhua Tang
openalex +1 more source

