Results 81 to 90 of about 523 (145)

Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.
Yi-Hsin Cheng, Tsung-Fang Wu
doaj  

The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities

open access: yesCommunications on Pure & Applied Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Existence of solutions for singular double phase problems via the Nehari manifold method [PDF]

open access: hybrid, 2022
Wulong Liu   +3 more
openalex   +1 more source

Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

open access: yesFractal 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   +3 more
doaj   +1 more source

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  

Homoclinic Solutions for a Class of Nonlinear Difference Equations

open access: yesJournal 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
doaj   +1 more source

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

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