Results 101 to 110 of about 20,082 (264)
A generalized p-Laplacian problem with parameters
Demonstratio MathematicaIn recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open.
Zuo Jiabin +3 more
doaj +1 more source
Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
Mathematische Nachrichten, EarlyView.ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto +2 more
wiley +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
Resonant (p,q)-equations with Robin boundary condition
Electronic Journal of Differential Equations, 2018 We consider a nonlinear nonhomogeneous Robin problem that has the sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation). The reaction term is a Caratheodory function which is resonant at $\pm\infty$ with respect to any nonprincipal variational ...
Michael E. Filippakis +1 more
doaj
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos +3 more
wiley +1 more source
Higher-order p-Laplacian boundary value problem at resonance on an unbounded domain. [PDF]
Heliyon, 2020 Iyase SA, Eke KS.
europepmc +1 more source
Higher differentiability for the fractional p-Laplacian
Mathematische AnnalenAbstract In this work, we study the higher differentiability of solutions to the inhomogeneous fractional p-Laplace equation under different regularity assumptions on the data. In the superquadratic case, we extend and sharpen several previous results, while in the subquadratic regime our results constitute completely novel developments even ...
Diening, Lars +3 more
openaire +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam +3 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose This study aimed to assess the feasibility of QSM in the human kidney during free‐breathing using respiratory gating for motion compensation. Methods Renal imaging of 15 healthy volunteers was performed using an axial multi‐echo GRE sequence on a 3 T MRI scanner.
Matthias Deitermann +7 more
wiley +1 more source