Results 71 to 80 of about 14,416 (203)

Identification of nonlinear heat conduction laws

, 2014
We consider the identification of nonlinear heat conduction laws in stationary and instationary heat transfer problems. Only a single additional measurement of the temperature on a curve on the boundary is required to determine the unknown parameter ...
Egger, Herbert, Pietschmann, Jan-Frederik, Schlottbom, Matthias   +2 more
core   +1 more source

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

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  

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

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

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

TOPOLOGICAL ASYMPTOTIC ANALYSIS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS [PDF]

, 2017
International audienceTopological asymptotic expansions for quasilinear elliptic equations have not been studied yet. Such questions arise from the need to apply topological asymptotic methods in shape optimization to nonlinear elasticity equations as in
Amstutz, Samuel, Bonnafé, Alain,
core  

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

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