Results 31 to 40 of about 16,559 (211)
On the differentiability of solutions of quasilinear elliptic equations [PDF]
Colloquium Mathematicum, 1993 The author gives a simpler proof of a result of \textit{Yu. G. Reshetnyak} [Sib. Mat. Zh. 28, No. 4(164), 193-195 (1987; Zbl 0679.35018)], which states that a weak solution of the quasilinear elliptic equation \(\text{div } A(x,u, \nabla u)= B(x,u, \nabla u)\), \(x\in \Omega\subset \mathbb{R}^ n\), is differentiable almost everywhere.
Piotr Hajłasz, Paweł Strzelecki
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Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
, 2016 We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic ...
Monticelli, Dario D. +2 more
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Monotonicity and symmetry of singular solutions to quasilinear problems
, 2018 We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane ...
Esposito, Francesco +2 more
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A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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Local behavior of solutions of quasilinear elliptic equations with coefficients in Morrey spaces [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1995 In this paper we prove a Harnack inequality for some quasilinear elliptic equations, extending the results in [6] and [5].
P. ZAMBONI
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Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
Advanced Nonlinear Studies, 2018 This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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Quasilinear elliptic equations with subquadratic growth
Journal of Differential Equations, 2006 AbstractIn this paper we consider nonlinear boundary value problems whose simplest model is the following:(0.1){−Δu+ν|u|p−1u=γ|∇u|2θ+f(x)inΩ,u=0on∂Ω, where f(x) is a summable function in Ω (bounded open set in RN, N>2), p>θ(1−θ ...
BOCCARDO, Lucio, PORZIO, Maria Michaela
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Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
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, 2000 We consider maps between Riemannian manifolds in which the map is a stationary point of the nonlinear Hodge energy. The variational equations of this functional form a quasilinear, nondiagonal, nonuniformly elliptic system which models certain kinds of ...
Hardt R. +15 more
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Some regularity results for anisotropic motion of fronts [PDF]
, 2002 We study the regularity of propagating fronts whose motion is anisotropic. We prove that there is at most one normal direction at each point of the front; as an application, we prove that convex fronts are C^{1,1}.
Imbert, Cyril
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