Optimal estimates from below for biharmonic Green functions [PDF]
, 2010 Optimal pointwise estimates are derived for the biharmonic Green function under Dirichlet boundary conditions in arbitrary $C^{4,\gamma}$-smooth domains.
Grunau, Hans-Christoph +2 more
core +5 more sources
A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations [PDF]
, 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
The unique continuation property for a nonlinear equation on trees [PDF]
, 2014 In this paper, we study the game p-Laplacian on a tree, that is, u(x) = α / 2 max y∈S(x) u(y) + min y∈S(x) u(y) + β m y∈S(x) u(y);here x is a vertex of the tree and S(x) is the set of successors of x. We study the family of the subsets of the tree that
del Pezzo, Leandro Martin +2 more
core +2 more sources
Discounted Hamilton-Jacobi Equations on Networks and Asymptotic Analysis [PDF]
, 2018 We study discounted Hamilton Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians continuous and coercive, we establish a comparison principle and provide representation formulae for solutions.
Pozza, Marco, Siconolfi, Antonio
core +2 more sources
Existence and Uniqueness results for linear second-order equations in the Heisenberg group [PDF]
, 2017 In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group.
Ochoa, Pablo Daniel, Ruiz, Julio Alejo
core +1 more source
Solitons in gauge theories: Existence and dependence on the charge
Advances in Nonlinear Analysis, 2014 In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
doaj +1 more source
Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control [PDF]
, 2016 This is the peer reviewed version of the following article: Kavallaris, N. I. (2018). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, 41(3), 1074-1082. doi:10.1002/
Kavallaris, Nikos I.
core +1 more source
Comparison results for nonlinear divergence structure elliptic PDE’s
Advances in Nonlinear Analysis, 2019 First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain Ω in terms of the solution of a related symmetric boundary ...
Liu Yichen +2 more
doaj +1 more source
A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
doaj +1 more source
, 2017 In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
core +1 more source