Results 241 to 250 of about 87,447 (290)

Regularity for quasilinear degenerate elliptic equations

Mathematische Zeitschrift, 2006
Equations like (1.1) have been studied by many Authors in the case ω(x) ≡ 1 (see e.g. [2] and the references therein) or ω an A2 Muckenhoupt weight ([6] and [17]). Here 3 is a strong A∞ weight and ω = 31− p n , 1 < p < n. The novelty here is the degeneracy condition given by choice of the weight ω to be a power of a strong A∞ weight.
DI FAZIO, Giuseppe, ZAMBONI, Pietro
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Quasilinear elliptic equations at critical growth

NoDEA : Nonlinear Differential Equations and Applications, 1998
The existence of nontrivial solutions of quasilinear elliptic equations at critical growth is proved. The solutions are obtained by variational methods: as the corresponding functional is nonsmooth, the analysis of Palais-Smale sequences requires suitable generalizations of the techniques involved in the study of the corresponding semilinear problem ...
ARIOLI, GIANNI, GAZZOLA, FILIPPO
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Some remarks on a system of quasilinear elliptic equations

NoDEA : Nonlinear Differential Equations and Applications, 2002
In this paper we study the functional \( \Upphi (u,v) = \frac{1}{p}\int_{\Upomega } {\left| {\nabla u} \right|^{p} } + \frac{1}{q}\int_{\Upomega } {\left| {\nabla u} \right|}^{q} - \int_{\Upomega } {F(x,u,v),} \) where p and q rae real numbers larger than ...
BOCCARDO, Lucio, D. De Figueiredo
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On a jumping problem for quasilinear elliptic equations

Mathematische Zeitschrift, 1997
Let us denote by (λk ) the eigenvalues of the operator −∆ with homogeneous Dirichlet condition. First studied in [1] when β < λ1 < α < λ2, this problem has been widely investigated in the case that some eigenvalue λk belongs to the interval ]β, α[ (see e.g. [14], [13], [10] and references therein).
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High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2021
Ishaani Priyadarshini, R. K. Mohanty
semanticscholar   +1 more source

Existence of solutions for quasilinear elliptic equations with Hardy potential

, 2016
In this paper, we consider the following quasilinear elliptic equation with Hardy potential and Dirichlet boundary condition: −∑i,j=1NDj(aij(x,u)Diu)+12∑i,j=1NDsai,j(x,u)DiuDju−λ|x|−2u=f(x,u)inΩ, where Ω ⊂ ℝN(N ≥ 3) is a smooth bounded domain, Di=∂∂xi ...
Yinbin Deng, Yuxia Guo, Jiaquan Liu
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Entire solutions of quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2007
Abstract We consider the existence of entire solutions of a quasilinear elliptic equation div ( | D u | p − 2 D u ) = k ( x ) f ( u ) , x ∈ R N , where p > 1 , N ∈ N . Conditions of the existence of entire solutions have been obtained by different authors. We prove an optimality of
Nickolai Slepchenkov, Alexander Gladkov
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On Blow Up Solutions of a Quasilinear Elliptic Equation

Mathematische Nachrichten, 2000
Given a bounded regular domain Ω in ℝN, we study existence and asymptotic behaviour of the solutions of the equation Δu + |Du|q = f(u) in Ω, which diverge on ∂Ω. We extend and complete some results contained in [4].
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Harnack Inequality for Quasilinear Elliptic Equations in Generalized Orlicz-Sobolev Spaces

Potential Analysis, 2020
Allami Benyaiche, Ismail Khlifi
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Sobolev–Dirichlet problem for quasilinear elliptic equations in generalized Orlicz–Sobolev spaces

Positivity (Dordrecht), 2020
Allami Benyaiche, Ismail Khlifi
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