Results 51 to 60 of about 502 (154)

(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth

Mathematische Nachrichten, Volume 299, Issue 3, Page 675-698, March 2026.
Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss, Hector Pereira, Bruno Ribeiro   +2 more
wiley   +1 more source

Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta, Anup Biswas, Roberta Filippucci   +2 more
wiley   +1 more source

A NOTE ON QUASILINEAR ELLIPTIC SYSTEMS WITH L^\infty-DATA

EURASIAN MATHEMATICAL JOURNAL, 2023
Summary: We prove the existence of a weak energy solution for the boundary value problem \[\begin{aligned} -\operatorname{div}\, a(x, u, Du) &= f \text{ in } \Omega, \\ u &= 0 \text{ on } \partial\Omega, \end{aligned}\] where \(\Omega\) is a smooth bounded open domain in \(\mathbb{R}^n\) \((n\geqslant 3)\) and \(f\in L^\infty(\Omega;\mathbb{R}^m ...
Balaadich, Farah, Azroul, Elhoussine
openaire   +1 more source

Long time behavior of the solution to a chemotaxis system with nonlinear indirect signal production and logistic source

Electronic Journal of Qualitative Theory of Differential Equations, 2023
This paper is devoted to studying the following quasilinear parabolic-elliptic-elliptic chemotaxis system \begin{equation*} \begin{cases} u_{t}=\nabla\cdot(\varphi(u)\nabla u-\psi(u)\nabla v)+au-bu^{\gamma},\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 ...
Chang-Jian Wang, Ya-Jie Zhu, Xin-Cai Zhu
doaj   +1 more source

The Dominant Role of the Electron Isotropy Boundary in Controlling Earth's Outer Radiation Belt Electron Lifetimes

Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Field‐line curvature scattering (FLCS) is believed to be the primary mechanism forming electron isotropy boundaries (IB) and can rapidly scatter relativistic electrons from the outer radiation belt. However, its direct and quantitative impact on controlling outer belt electron lifetimes has never been directly assessed.
Man Hua, Xiaofei Shi, Jacob Bortnik, Anton Artemyev, Vassilis Angelopoulos, Yoshizumi Miyoshi, Takefumi Mitani, James L. Burch, Takeshi Takashima, Tomoaki Hori, Ayako Matsuoka, Mariko Teramoto, Kazuhiro Yamamoto, Yoshiya Kasahara, Fuminori Tsuchiya, Atsushi Kumamoto, Atsuki Shinbori, Iku Shinohara   +17 more
wiley   +1 more source

QUASILINEAR ELLIPTIC SYSTEMS OF RESONANT TYPE AND NONLINEAR EIGENVALUE PROBLEMS [PDF]

, 2020
This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L De, M Cristina Mariani
core  

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Quantitative Nonlocal‐to‐Local Limits in Multispecies Interaction Systems via Relative Entropy and Modulated Energy

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
We derive quantitative convergence rates for nonlocal‐to‐local limits in a class of multispecies interaction systems with finite‐range kernels. The nonlocal model consists of coupled aggregation–diffusion equations in which intra‐ and interspecies interactions are mediated by short‐range convolution operators.
S. C. Oukouomi Noutchie, John Venetis
wiley   +1 more source

Uniform $$L^{\infty }$$-Estimates for Quasilinear Elliptic Systems

Mediterranean Journal of Mathematics, 2023
AbstractThe aim of this work is to provide uniform $$L^{\infty }$$ L ∞ -estimates for the solutions of a quite general class of (p, q)-quasilinear elliptic systems depending on two parameters $$\alpha $$ α and $$\delta $$
openaire   +2 more sources

Nonhomogeneous quasilinear elliptic systems with small perturbations and lack of compactness

Bulletin of Mathematical Sciences
We investigate a class of quasilinear elliptic system involving a nonhomogeneous differential operator which is introduced by Stuart [Milan J. Math. 79 (2011) 327–341] and depends not only on [Formula: see text] but also on u.
Xingyong Zhang, Wanting Qi
doaj   +1 more source