Results 61 to 70 of about 1,041 (107)

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

Open 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
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Besov regularity for the elliptic p-harmonic equations in the non-quadratic case

Advances in Nonlinear Analysis
In this article, we mainly establish the local extra fractional differentiability (Besov regularity) of weak solutions for the following divergence nonlinear elliptic equations of pp-Laplacian type: divA(Du,x)=divF,\hspace{0.1em}\text{div}\hspace{0.1em}A(
Yao Fengping
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Rigidity results for some boundary quasilinear phase transitions

, 2008
We consider a quasilinear equation given in the half-space, i.e. a so called boundary reaction problem. Our concerns are a geometric Poincar\'e inequality and, as a byproduct of this inequality, a result on the symmetry of low-dimensional bounded stable ...
Sire, Yannick, Valdinoci, Enrico
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Existence for (p, q) critical systems in the Heisenberg group

Advances 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
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A Bernoulli problem with non constant gradient boundary constraint [PDF]

, 2010
We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit normal. In particular we prove that, in the convex case,
Bianchini, Chiara
core   +2 more sources

Yamabe-type equations on Carnot groups

, 2016
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica, Repovš, Dušan D.   +1 more
core   +1 more source

Regularity for double-phase functionals with nearly linear growth and two modulating coefficients

Advances in Nonlinear Analysis
We deal with non-uniformly elliptic integral functionals w↦∫c(x)∣Dw∣log(1+∣Dw∣)+a(x)(∣Dw∣2+s2)q2+1dx,w\mapsto \int \left[{\mathfrak{c}}\left(x)| Dw| \log \left(1+| Dw| )+a\left(x){\left({| Dw| }^{2}+{s}^{2})}^{\tfrac{q}{2}}+1\right]{\rm{d}}x, with s∈[0,1]
Kim Bogi, Oh Jehan
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Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system

Advances 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

A certain critical density property for invariant Harnack inequalities in H-type groups

, 2013
We consider second order linear degenerate-elliptic operators which are elliptic with respect to horizontal directions generating a stratified algebra of H-type. Extending a result by Guti\'errez and Tournier for the Heisenberg group, we prove a critical
Tralli, Giulio
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Bifurcation and multiplicity results for critical problems involving the p-Grushin operator

Advances in Nonlinear Analysis
In this article, we prove a bifurcation and multiplicity result for a critical problem involving a degenerate nonlinear operator Δγp{\Delta }_{\gamma }^{p}. We extend to a generic p>1p\gt 1 a result, which was proved only when p=2p=2. When p≠2p\ne 2, the
Malanchini Paolo, Bisci Giovanni Molica, Secchi Simone   +2 more
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