Results 41 to 50 of about 208 (138)
A Fredholm alternative for quasilinear elliptic equations with right-hand side measure
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
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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Probabilistic Model for Global EMIC Wave Activity Using Van Allen Probes Observations
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
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
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
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Oscillation criteria for damped quasilinear second-order elliptic equations
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
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
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
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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

