Results 81 to 90 of about 2,242 (124)

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

open access: yesElectronic 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  

Existence Results for Singular p-Biharmonic Problem with HARDY Potential and Critical Hardy-Sobolev Exponent

open access: yesAxioms
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

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

open access: yesElectronic 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  

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

open access: yesElectronic 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  

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