Results 41 to 50 of about 145,855 (140)

Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian

Mathematical Methods in the Applied Sciences, 2021
In this paper, we discuss the bifurcation from infinity for nonlinear problem with a fractional p‐Laplacian in ψ‐fractional space , whose bifurcation is directly linked to the signal with 1 < q < p − 1.
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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

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
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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
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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

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Non-Nehari manifold method for a class of generalized quasilinear Schrödinger equations

Applied Mathematics Letters, 2017
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Jianhua Chen 0005, Xianhua Tang, Bitao Cheng   +2 more
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