Results 1 to 10 of about 740 (152)

On a class of nonlocal nonlinear Schrödinger equations with potential well

Advances in Nonlinear Analysis, 2019
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
doaj   +2 more sources

Ground State Solutions for a Nonlocal System in Fractional Orlicz-Sobolev Spaces

International Journal of Differential Equations, 2022
We consider an elliptic system driven by the fractional a.-Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.
Hamza El-Houari, Hicham Moussa, Lalla Saâdia Chadli   +2 more
doaj   +1 more source

Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems

Journal of Applied Mathematics, 2014
The existence of weak solution for p-Laplace problem is studied in the paper. By exploiting the relationship between the Nehari manifold and fibering maps and combining the compact imbedding theorem and the behavior of Palais-Smale sequences in the ...
Meilan Qiu, Liquan Mei
doaj   +1 more source

Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]

Mathematica Moravica, 2021
A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge, Pışk˙ın Erhan, Irkıl Nazlı, Raposo Carlos A.   +3 more
doaj   +1 more source

On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent

Journal of Function Spaces, 2022
In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial ...
Mohammed El Mokhtar ould El Mokhtar
doaj   +1 more source

Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system

Electronic Journal of Differential Equations, 2020
We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters $\lambda,\mu$. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets,
Kaye Silva, Steffanio Moreno Sousa
doaj  

Multiple solutions for a fractional Laplacian system involving critical Sobolev-Hardy exponents and homogeneous term

Mathematical Modelling and Analysis, 2020
In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain.
Jinguo Zhang, Tsing-San Hsu
doaj   +1 more source

Multiplicity of Weak Positive Solutions for Fractional p & q Laplacian Problem with Singular Nonlinearity

Journal of Function Spaces, 2020
In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional p & q Laplacian problem with singular nonlinearity.
Dandan Yang, Chuanzhi Bai
doaj   +1 more source

Standing waves of nonlinear Schrödinger systems with all attractive forces

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley   +1 more source