Results 31 to 40 of about 14,259 (205)
Quasilinear and singular elliptic systems
, 2013 In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results.
Giacomoni, Jacques +2 more
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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 +17 more
wiley +1 more source
Interface Problems for Quasilinear Elliptic Equations
Journal of Differential Equations, 1999 Let \(\Omega\subset{\mathbb R}^2\) be a polygonal domain whose closure is the union of the closures of finitely many polygonal subdomains \(\Omega^{(k)}\). The author studies the uniformly elliptic Dirichlet problem \[ -D_i[A^{ij}(x,u)D_j]=-D_iF^I\quad \text{on }\Omega, \qquad u|\partial\Omega=0 \] assuming that \(A^{ij}|[\text{cl}(\Omega^{(k)})\times{\
openaire +2 more sources
Strong Resonance for Some Quasilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bouchala, Jiřı́, Drábek, Pavel
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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 +3 more
wiley +1 more source
On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces
Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc +2 more
wiley +1 more source
Positive Solutions of Quasilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type [PDF]
, 2003 In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter $\lambda\in (0 ...
Xuan, Benjin
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Mathematical 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
Electronic Journal of Differential Equations, 2019 In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
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