Results 51 to 60 of about 811 (206)
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
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider the Dirichlet problem for a class of quasilinear elliptic systems in domain with irregular boundary. The principal part satisfies componentwise coercivity condition and the nonlinear terms are Carathéodory maps having Morrey regularity in $x$
Luisa Fattorusso, Lubomira Softova
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Estimates for eigenvalues of quasilinear elliptic systems. Part II
Journal of Differential Equations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernández Bonder, Julián +1 more
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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
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Existence and multiplicity of nontrivial solutions for quasilinear elliptic systems
, 2011 The existence and multiplicity of nontrivial solutions are obtained for the quasilinear elliptic systems by the linking argument, the cohomological index theory and the pseudo-index ...
Zeng-Qi Ou +3 more
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The Neumann problem for a class of generalized Kirchhoff-type potential systems
Boundary Value Problems, 2023 In this paper, we are concerned with the Neumann problem for a class of quasilinear stationary Kirchhoff-type potential systems, which involves general variable exponents elliptic operators with critical growth and real positive parameter.
Nabil Chems Eddine, Dušan D. Repovš
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A multiplicity result for a quasilinear gradient elliptic system
Journal of Applied Mathematics, 2001 The aim of this work is to establish the existence of infinitely many solutions to gradient elliptic system problem, placing only conditions on a potential function H, associated to the problem, which is assumed to have an oscillatory behaviour at infinity.
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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
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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
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Local integrability for solutions to some quasilinear elliptic systems
, 2012 We prove local higher integrability for weak solutions u of quasilinear elliptic systems whose off-diagonal coefficients are small when |u| is ...
PETRICCA P. V., LEONETTI, Francesco
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