Tempered fractional Jacobi-Müntz basis for image reconstruction application and high-order pseudospectral tempered fractional differential matrices

SA Dahy, HM El-Hawary, A Fahim, AA Farhat - Applied Mathematics and …, 2024 - Elsevier
This paper develops two tempered fractional matrices that are computationally accurate,
efficient, and stable to treat myriad tempered fractional differential problems. The suggested …

Concentrating Positive Solutions for Quasilinear Schrödinger Equations Involving Steep Potential Well

CN Yang, CL Tang - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
This paper is concerned with the existence and concentration of positive solutions for the
following quasilinear Schrödinger equation QS-Δ u+ λ V (x) u+ κ 2 [Δ (u 2)] u= μ f (u), x∈ RN …

[PDF][PDF] Perturbation Solution to Modified Nonlinear Schrödinger Equation Based on Slowly Varying Envelope Approximation

A Ghosh, S Maitra, AR Chowdhury - Journal of Applied Nonlinear …, 2024 - researchgate.net
In this research article a modified nonlinear Schrödinger equation describing the dynamics
of slowly varying envelope of electromagnetic waves in plasmas is studied. Applying …

[PDF][PDF] Group invariant solutions for the planar Schrödinger-Poisson equations

G Zhou - Electronic Research Archive, 2023 - aimspress.com
This paper is concerned with the following planar Schrödinger-Poisson equations−∆ u+ V (x)
u+(ln|·|∗| u| p)| u| p− 2u= f (x, u), x∈ R2, where p≥ 2 is a constant, and V (x) and f (x, u) are …

Nonlinear fourth order problems with asymptotically linear nonlinearities

A Amor Ben Ali, M Dammak - Mathematica Bohemica, 2024 - dml.cz
We investigate some nonlinear elliptic problems of the form $$\Delta^{2} v+\sigma (x) v= h
(x, v)\quad\mbox {in}\\Omega,\quad v=\Delta v= 0\quad\mbox {on}\\partial\Omega,\eqno ({\rm …