Results 41 to 50 of about 208 (138)

A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

open access: yesAdvances in Nonlinear Analysis, 2016
We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory
Colturato Michele, Degiovanni Marco
doaj   +1 more source

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

Positive Solutions of Quasilinear Elliptic Equations

open access: yesJournal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A Probabilistic Model for Global EMIC Wave Activity Using Van Allen Probes Observations

open access: yesEarth and Space Science, Volume 12, Issue 11, November 2025.
Abstract Electromagnetic ion cyclotron (EMIC) waves play a key role in radiation belt dynamics through resonant interactions. However, their low occurrence probability, high variability, and spatial intermittency pose challenges for accurate modeling.
Sung Jun Noh   +3 more
wiley   +1 more source

Quasilinear Wave‐Particle Analysis in the Source Region of Jovian Kilometric Radio Emission

open access: yesJournal of Geophysical Research: Space Physics, Volume 130, Issue 11, November 2025.
Abstract Jovian broadband kilometric emission (bKOM) is observed by the Juno spacecraft within a source region in the northern hemisphere near the equatorward edge of the auroral oval. A well‐developed upward loss cone is the free‐energy source of the bKOM.
P. H. Yoon   +7 more
wiley   +1 more source

Quasilinear Elliptic Equations on Half- and Quarter-spaces

open access: yesAdvanced Nonlinear Studies, 2013
Abstract We consider quasilinear elliptic problems of the form Δ p u + f(u) = 0 over the half-space H = {x ∈ ℝ N : x 1 > 0} and over the quarter-space Q = {x ∈ ℝ N
Dancer, E. N.   +2 more
openaire   +1 more source

Oscillation criteria for damped quasilinear second-order elliptic equations

open access: yesElectronic 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  

Muskat–Leverett Two‐Phase Flow in Thin Cylindric Porous Media: Asymptotic Approach

open access: yesStudies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT A reduced‐dimensional asymptotic modeling approach is presented for the analysis of two‐phase flow in a thin cylinder with an aperture of order O(ε)$\mathcal {O}(\varepsilon)$, where ε$\varepsilon$ is a small positive parameter. We consider a nonlinear Muskat–Leverett two‐phase flow model expressed in terms of a fractional flow formulation and
Taras Mel'nyk, Christian Rohde
wiley   +1 more source

Logistic equation with the p-Laplacian and constant yield harvesting

open access: yesAbstract 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   +2 more
doaj   +1 more source

A Microfluidic Platform for Actin‐Based Membrane Remodeling Reveals the Stabilizing Role of Branched Actin Networks on Lipid Microdomains

open access: yesSmall Science, Volume 5, Issue 10, October 2025.
A microfluidic assay to study actin‐driven shape changes of giant unilamellar vesicles (GUVs) is developed. This system enables high‐throughput analysis of membrane remodeling and reveals how actin networks and lipid domains influence each other. It offers a powerful tool to dissect membrane deformation mechanisms in controlled environments. Cell shape
Lixin Huang   +9 more
wiley   +1 more source

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