Results 41 to 50 of about 724 (89)
Entire solutions of sublinear elliptic equations in anisotropic media
, 2005 We study the nonlinear elliptic problem $-\Delta u=\rho (x)f(u)$ in $\RR^N$ ($N\geq 3$), $\lim\_{|x|\ri\infty}u(x)=\ell$, where $\ell\geq 0$ is a real number, $\rho(x)$ is a nonnegative potential belonging to a certain Kato class, and $f(u)$ has a ...
Dinu, Teodora Liliana
core +1 more source
Decay results for the heat equation under radiation boundary conditions
, 2001 The authors derive exponential decay bounds for the spatial derivatives of the solutions of some initial-boundary value problems for the heat equation in one and two space dimensions when linear radiation (Robin) conditions are prescribed on the boundary.
L. Payne, P. Schaefer
semanticscholar +1 more source
Global Dynamics of Generalized Logistic Equations
Advanced Nonlinear Studies, 2018 We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
doaj +1 more source
Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
doaj +1 more source
Singular solutions of perturbed logistic-type equations [PDF]
Applied Mathematics and Computation 218:8 (2011), 4414-4422, 2016 We are concerned with the qualitative analysis of positive singular solutions with blow-up boundary for a class of logistic-type equations with slow diffusion and variable potential. We establish the exact blow-up rate of solutions near the boundary in terms of Karamata regular variation theory.
arxiv +1 more source
A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations
, 2010 We investigate symmetry properties of solutions to equations of the form $$ -\Delta u = \frac{a}{|x|^2} u + f(|x|, u)$$ in R^N for $N \geq 4$, with at most critical nonlinearities.
Abatangelo, L., Terracini, S.
core +1 more source
On the well-posedness of a multiscale mathematical model for Lithium-ion batteries
Advances in Nonlinear Analysis, 2018 We consider the mathematical treatment of a system of nonlinear partial differential equations based on a model, proposed in 1972 by J. Newman, in which the coupling between the Lithium concentration, the phase potentials and temperature in the ...
Díaz J. Ildefonso +2 more
doaj +1 more source
Strong maximum principles for fractional Laplacians [PDF]
Proceedings of the Royal Society of Edinburgh: Section A
Mathematics 149 (2019) 1223-1240, 2016 We give a unified approach to strong maximum principles for a large class of nonlocal operators of the order $s\in(0,1)$, that includes the Dirichlet, the Neumann Restricted (or Regional) and the Neumann Semirestricted Laplacians.
arxiv +1 more source
Monotonicity and symmetry of singular solutions to quasilinear problems
, 2018 We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane ...
Esposito, Francesco +2 more
core +2 more sources
A characterization of the symmetric steady water waves in terms of the underlying flow [PDF]
, 2014 In this paper we present a characterization of the symmetric rotational periodic gravity water waves of finite depth and without stagnation points in terms of the underlying flow.
Matioc, Bogdan-Vasile
core