Results 51 to 60 of about 208 (138)

Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi, Francesco Esposito, Alberto Roncoroni, Eugenio Vecchi   +3 more
wiley   +1 more source

Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition

Mathematics
In this work, we study a nonlocal boundary value problem for a quasilinear elliptic equation. Using the method of regularization and parameter continuation, we prove the existence and uniqueness of a regular solution to the nonlocal boundary value ...
Serik Aitzhanov, Bakytbek Koshanov, Aray Kuntuarova   +2 more
doaj   +1 more source

Solvability of quasilinear elliptic equations with strong dependence on the gradient

Abstract and Applied Analysis, 2000
We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
doaj   +1 more source

Second‐order regularity for degenerate p$p$‐Laplace type equations with log‐concave weights

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We consider weighted p$p$‐Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log‐concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second‐order estimates. For unbounded domains, we prove local estimates at the boundary.
Carlo Alberto Antonini, Giulio Ciraolo, Francesco Pagliarin   +2 more
wiley   +1 more source

Existence of solutions for quasilinear elliptic equations involving a nonlocal term

Electronic Journal of Differential Equations, 2015
This article establishes the existence of solutions for a partial differential equation involving a quasilinear elliptic operator and a nonlocal term.
Maria Farcaseanu, Denisa Stancu-Dumitru
doaj  

Strong Unique Continuation for Solutions of a p(x)-Laplacian Problem

International Journal of Mathematics and Mathematical Sciences, 2012
We study the strong unique continuation property for solutions to the quasilinear elliptic equation -div(|∇u|p(x)-2∇u)+V(x)|u|p(x)-2u=0  in  Ω where V(x)∈LN/p(x)(Ω), Ω is a smooth bounded domain in ℝN, and ...
Johnny Cuadro, Gabriel López
doaj   +1 more source

Existence and Uniqueness of Solutions for the p(x)-Laplacian Equation with Convection Term

Mathematics, 2020
In this paper, we consider the existence and uniqueness of solutions for a quasilinear elliptic equation with a variable exponent and a reaction term depending on the gradient.
Bin-Sheng Wang, Gang-Ling Hou, Bin Ge
doaj   +1 more source

Diagnosing the Rapid Loss of Outer Radiation Belt Electrons Due To Strong Chorus‐Driven Wave‐Particle Interactions Along an Electron Injection Path

Journal of Geophysical Research: Space Physics, Volume 130, Issue 8, August 2025.
Abstract Multi‐spacecraft data demonstrate that intense chorus waves are excited during electron injection events that drive rapid radiation belt electron loss across a limited energy range from ∼ ${\sim} $100 to 300 keV on sub‐drift timescales through strong pitch angle diffusion.
S. Chakraborty, I. R. Mann, L. Olifer, R. Black, O. Allanson, I. J. Rae, L. G. Ozeke, C. E. J. Watt   +7 more
wiley   +1 more source

Existence of a local strong solution to the beam–polymeric fluid interaction system

Mathematische Nachrichten, Volume 298, Issue 7, Page 2327-2379, July 2025.
Abstract We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner‐type for an incompressible polymer fluid (described by the Navier–Stokes–Fokker–Planck equations) interacting with a flexible elastic shell.
Dominic Breit, Prince Romeo Mensah
wiley   +1 more source

Size and Thickness Effects on the Ductile Fracture Toughness of a 316 L(N) Austenitic Stainless Steel in As‐Received and Aged Conditions

Fatigue &Fracture of Engineering Materials &Structures, Volume 48, Issue 7, Page 3168-3184, July 2025.
ABSTRACT Measuring ductile fracture toughness for materials requires the specimen size to be large enough for the tests to be valid. The presented work investigates the size related fracture behavior of as‐received and aged 316 L(N) stainless steel through an experimental approach. It focuses on the effects of the thickness and size of the specimens on
Sihan Cheng, Jérôme Garnier, Bernard Marini, Yazid Madi, Jacques Besson   +4 more
wiley   +1 more source