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Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]

, 2012
2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
De Donno, Giuseppe +3 more
core

Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction

Advances in Nonlinear Analysis
We prove an existence result for a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction.
Baldelli Laura, Guarnotta Umberto
doaj +1 more source

Sharp asymptotic expansions of entire large solutions to a class of k-Hessian equations with weights

Advances in Nonlinear Analysis
It is well-known that it is a quite interesting topic to study the asymptotic expansions of entire large solutions of nonlinear elliptic equations near infinity. But very little is done.
Wan Haitao
doaj +1 more source

An upper bound for the least energy of a sign-changing solution to a zero mass problem

Advanced Nonlinear Studies
We give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica, Maia Liliane, Pellacci Benedetta +2 more
doaj +1 more source

Temporospatial induction of homeodomain gene cut dictates natural lineage reprogramming. [PDF]