Results 31 to 40 of about 351 (124)

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  

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

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

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

Numerical Study of Transverse (In‐)Stability of Solitary Waves in the Cubic–Quintic Nonlinear Schrödinger Equation

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the nonlinear Schrödinger equation with a competing cubic–quintic power‐law nonlinearity on the waveguide domain Rx×TLy$\mathbb {R}_x \times \mathbb {T}_{L_y}$. This model is globally well‐posed and admits line solitary wave solutions, whose transverse (in‐)stability is numerically investigated.
Christian Klein, Christof Sparber
wiley   +1 more source

Boundary Value Problems With ψ‐Hilfer Fractional Derivative: Existence Theorems in Nonlinear Analysis

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari, Zainab Mawdoodi, Deepali Deepali   +2 more
wiley   +1 more source

Stability Results for Higher Order Solutions of Damped Wave Equations With Generalized Hartree‐Type Nonlinearity in Rn

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir, Keltoum Bouhali, Amal Alhujaylan, Abdelfateh Beghriche, Huaiqin Wu   +4 more
wiley   +1 more source

Multiplicity results for logarithmic double phase problems via Morse theory

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu, Matheus F. Stapenhorst, Patrick Winkert   +2 more
wiley   +1 more source

Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities

Electronic Journal of Differential Equations, 2020
This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps.
Jie Yang, Haibo Chen, Zhaosheng Feng
doaj  

Multiplicity Results for a Class of Kirchhoff-Schrödinger-Poisson System Involving Sign-Changing Weight Functions

Journal of Function Spaces, 2019
This paper deals with the Kirchhoff-Schrödinger-Poisson system involving sign-changing weight functions. We prove the existence and multiplicity of solutions to the system. Our main results are based on the method of Nehari manifold.
Dandan Yang, Chuanzhi Bai
doaj   +1 more source