Results 31 to 40 of about 778 (84)

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

open access: yesOpen Mathematics, 2017
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…,
Gorban Yuliya
doaj   +1 more source

Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic ...
Cavalheiro Albo Carlos
doaj   +1 more source

Viscosity convex functions on Carnot groups [PDF]

open access: yesarXiv, 2003
We prove that any locally bounded from below, upper semicontinuous v-convex function in any Carnot group is h-convex.
arxiv  

Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system

open access: yesAdvances in Nonlinear Analysis, 2017
We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
doaj   +1 more source

Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains

open access: yesAdvances in Nonlinear Analysis, 2021
Let w be a Muckenhoupt A2(ℝn) weight and Ω a bounded Reifenberg flat domain in ℝn. Assume that p (·):Ω → (1, ∞) is a variable exponent satisfying the log-Hölder continuous condition.
Zhang Junqiang, Yang Dachun, Yang Sibei
doaj   +1 more source

Operator-Valued $L_{q}\to L_{p}$ Fourier Multipliers [PDF]

open access: yesarXiv, 2008
This paper is withdrawn due to some gaps in the ...
arxiv  

Existence for (p, q) critical systems in the Heisenberg group

open access: yesAdvances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
doaj   +1 more source

On the Dirichlet Problem Generated by the Maz'ya--Sobolev Inequality [PDF]

open access: yesarXiv, 2011
We discuss the attainability of sharp constants for the Maz'ya--Sobolev inequalities in wedges, "perturbed" wedges and bounded domains.
arxiv  

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

open access: yesAdvances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della   +2 more
doaj   +1 more source

Regularity for variational problems in the Heisenberg group [PDF]

open access: yesarXiv, 2017
We study the regularity of minima of scalar variational integrals of $p$-growth, $1
arxiv  

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