Results 31 to 40 of about 778 (84)
Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations
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
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Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations
In this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic ...
Cavalheiro Albo Carlos
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Viscosity convex functions on Carnot groups [PDF]
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
We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
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Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
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
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Operator-Valued $L_{q}\to L_{p}$ Fourier Multipliers [PDF]
This paper is withdrawn due to some gaps in the ...
arxiv
Existence for (p, q) critical systems in the Heisenberg group
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
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On the Dirichlet Problem Generated by the Maz'ya--Sobolev Inequality [PDF]
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
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
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Regularity for variational problems in the Heisenberg group [PDF]
We study the regularity of minima of scalar variational integrals of $p$-growth, $1