Results 61 to 70 of about 14,259 (205)

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

Oscillation criteria for damped quasilinear second-order elliptic equations

Electronic Journal of Differential Equations, 2011
In 2010, Yoshida [13] stated that oscillation criteria for the superlinear-sublinear elliptic equation equation $$ abla cdot ig(A(x)Phi(abla v)ig) + (alpha+1)B(x)cdotPhi(abla v) + C(x) phi_eta(v) + D(x) phi_gamma (v)=f(x) $$ were not known.
Tadie
doaj  

Nonexistence of positive supersolutions of elliptic equations via the maximum principle [PDF]

, 2010
We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of $\mathbb{R}^n$. The simplicity and robustness of our maximum principle-based argument provides for its applicability to ...
Armstrong, Scott N., Sirakov, Boyan
core  

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

Logistic equation with the p-Laplacian and constant yield harvesting

Abstract and Applied Analysis, 2004
We consider the positive solutions of a quasilinear elliptic equation with p-Laplacian, logistic-type growth rate function, and a constant yield harvesting.
Shobha Oruganti, Junping Shi, Ratnasingham Shivaji   +2 more
doaj   +1 more source

Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

, 2013
In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert, Pietschmann, Jan-Frederik, Schlottbom, Matthias   +2 more
core   +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

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

Strongly resonant quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2008
The nonlinear boundary value problem \(-\Delta _{p}u=\lambda _{1}| u| ^{p-2}u+g(u)\) in \(\Omega \), \(u| _{\partial \Omega }=0\), is studied in the paper. An existence result is obtained under some strong generalized Landesman--Laser and Tong conditions. The proof is based on a saddle point theorem with Cerami type PS condition.
openaire   +3 more sources