Results 71 to 80 of about 348 (123)

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  

Homoclinic Solutions for a Class of Nonlinear Difference Equations

Journal of Applied Mathematics, 2014
We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach.
Ali Mai, Zhan Zhou
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Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

Fractal and Fractional
We consider a Neumann problem for the fractional Laplacian involving a nonlocal Choquard-type nonlinearity and Sobolev–Hardy exponent. Under suitable assumptions on the data and using the Nehari manifold method, we discuss the existence problem in ...
Zhenfeng Zhang, Calogero Vetro, Tianqing An, Wei Chen   +3 more
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The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities

Communications on Pure and Applied Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials

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

Axioms
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
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Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs

SIAM Journal on Scientific Computing
29 pages, 8 ...
Zhaoxing Chen, Wei Liu 0136, Ziqing Xie, Wenfan Yi   +3 more
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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  

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

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
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