Local Hölder estimates for general elliptic p(x)-Laplacian equations [PDF]
, 2014 . In this paper we obtain the interior Hölder regularity of the gradients of weak solutions for general elliptic p(x) -Laplacian equations under some proper assumptions on a and the Hölder continuous functions p,f .
Fengping Yao
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Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 2020 We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
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Interior Boundaries for Degenerate Elliptic Equations of Second Order Some Theory and Numerical Observations [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35J70; Secondary 35J15, 35D05.For boundary value problems for degenerate-elliptic equations of second order in ⊂ Rn there are cases when a closed surface exists, dividing into two subdomains in such a ...
Chobanov, G., Kutev, N.
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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
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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 AnalysisIn 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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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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MAXIMUM AND ANTIMAXIMUM PRINCIPLES FOR THE p-LAPLACIAN WITH WEIGHTED STEKLOV BOUNDARY CONDITIONS
, 2020 International audienceWe study the maximum and antimaximum principles for the p-Laplacian operator under Steklov boundary conditions with an indefinite weight −∆pu + |u| p−2 u = 0 in Ω, |∇u| p−2 ∂u ∂ν = λm(x)|u| p−2 u + h(x) on ∂Ω, where Ω is a smooth ...
Leadi, Liamidi +2 more
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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
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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
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