Results 61 to 70 of about 14,416 (203)

Solutions to p(x)-Laplace type equations via nonvariational techniques [PDF]

Opuscula Mathematica, 2018
In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone ...
Mustafa Avci
doaj   +1 more source

Singular quasilinear elliptic systems in $\mathbb{R}^N$

, 2018
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core   +1 more source

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

Journal 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, J. D. Menietti, F. Allegrini, W. S. Kurth, J. B. Faden, G. B. Hospodarsky, J. E. P. Connerney, S. J. Bolton   +7 more
wiley   +1 more source

Three solutions for quasilinear equations in Rⁿ near resonance

Electronic Journal of Differential Equations, 2001
We use minimax methods to prove the existence of at least three solutions for a quasilinear elliptic equation in $mathbb {R}^n$ near resonance.
Pablo De Napoli, Maria Cristina Mariani
doaj  

Quasilinear degenerate elliptic equation with absorption term

Nonlinear Analysis: Theory, Methods & Applications, 1999
The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
openaire   +3 more sources

Quasilinear elliptic equations via perturbation method [PDF]

Proceedings of the American Mathematical Society, 2012
The paper is concerned with the existence and multiplicity of solutions for quasilinear equations of the form \[ \begin{cases} \sum _ {i,j=1}^ND_j( a_{ij}(x,u) D_iu) & \\ \qquad-\frac12 \sum _{i,j=1}^N D_sa_{ij}(x,u) D_iu D_ju + f(x,u)=0& \mathrm{in}\,\, \Omega ,\\ u=0 & \mathrm{on}\,\, \partial \Omega \end{cases} \tag{1} \] where \(D_i= \partial ...
Liu, Xiang-Qing, Liu, Jia-Quan, Wang, Zhi-Qiang   +2 more
openaire   +2 more sources

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

Studies 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

Arithmetic three-spheres theorems for quasilinear Riccati type inequalities [PDF]

, 2015
We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.Comment: to appear in Journal d'Analyse Math ...
Granlund, Seppo, Marola, Niko
core  

Multimode solutions of first-order elliptic quasilinear systems obtained from Riemann invariants

, 2014
Two new approaches to solving first-order quasilinear elliptic systems of PDEs in many dimensions are proposed. The first method is based on an analysis of multimode solutions expressible in terms of Riemann invariants, based on links between two ...
A. Jeffrey, A. M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, B.A. Dubrovin, B.L. Rozdestvenski, E. Cartan, E. Kamke, E.L. Ince, E.V. Ferapontov, E.V. Ferapontov, F. John, G. Boillat, G.B. Whitham, J. Chakrabarty, J. Czyz, L. Katchanov, M. Burnat, M. Kuranishi, M.J. Ablowitz, P.J. Olver, P.J. Olver, P.W. Doyle, R. Conte, R. Courant, R. Hill, R. Mises, R.K. Luneburg, S. Sobolev, V. Lamothe, V. Lamothe, V. Lamothe, V.E. Zakharov, W. Fushchych, Z. Peradzynski   +38 more
core   +1 more source

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

Small 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, Rogério Lopes Dos Santos, Sid Labdi, Guillaume Lamour, Olek Maciejak, Michel Malo, John Manzi, Martin Lenz, Jacques Fattaccioli, Clément Campillo   +9 more
wiley   +1 more source