Results 111 to 120 of about 262,340 (175)

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

Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials

open access: yesAbstract and Applied Analysis, 2013
We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem.
Meihua Huang, Zhan Zhou
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  

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

open access: yesBulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2022
Zediri Sounia   +2 more
semanticscholar   +1 more source

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