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
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
doaj +1 more source
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
Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations
Moroccan 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
Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
Advances 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
Nontrivial solutions for resonance quasilinear elliptic systems
Advances in Nonlinear AnalysisWe establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino +2 more
doaj +1 more source
Global and blow up solutions to cross diffusion systems
Advances in Nonlinear Analysis, 2015 Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
doaj +1 more source
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
core +2 more sources
Regularity for double-phase functionals with nearly linear growth and two modulating coefficients
Advances in Nonlinear AnalysisWe 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
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
core +1 more source