Results 11 to 20 of about 352 (25)
Asymptotic and optimal Liouville properties for Wolff type integral systems [PDF]
, 2016 This article examines the properties of positive solutions to fully nonlinear systems of integral equations involving Hardy and Wolff potentials. The first part of the paper establishes an optimal existence result and a Liouville type theorem for the ...
Caffarelli +36 more
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Duality methods for a class of quasilinear systems
, 2013 Duality methods are used to generate explicit solutions to nonlinear Hodge systems, demonstrate the well-posedness of boundary value problems, and reveal, via the Hodge-B\"acklund transformation, underlying symmetries among superficially different forms ...
Agarwal +21 more
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Well-posedness and stationary solutions [PDF]
, 2011 In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
core
Some remarks on sign changing solutions of a quasilinear elliptic equation in two variables [PDF]
, 2012 We consider planar solutions to certain quasilinear elliptic equations subject to the Dirichlet boundary conditions; the boundary data is assumed to have finite number of relative maximum and minimum values.
Granlund, Seppo, Marola, Niko
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Sharp pointwise gradient estimates for Riesz potentials with a bounded density
, 2018 We establish sharp inequalities for the Riesz potential and its gradient in $\mathbb{R}^{n}$ and indicate their usefulness for potential analysis, moment theory and other applications.Comment: 14 pages, submitted to Analysis and Mathematical ...
Tkachev, Vladimir G.
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Minimal immersions of closed surfaces in hyperbolic three-manifolds
, 2010 We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surface $S$, and $\alpha dz^2$ is a holomorphic quadratic ...
A. Ambrosetti +17 more
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Existence and multiplicity for elliptic problems with quadratic growth in the gradient
, 2012 We show that a class of divergence-form elliptic problems with quadratic growth in the gradient and non-coercive zero order terms are solvable, under essentially optimal hypotheses on the coefficients in the equation.
Abdel Hamid H. +21 more
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Arithmetic three-spheres theorems for quasilinear Riccati type inequalities [PDF]
, 2015 We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.Comment: to appear in Journal d'Analyse Math ...
Granlund, Seppo, Marola, Niko
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Asymptotic behavior of the eigenvalues of the p(x)-Laplacian
, 2013 We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.Comment: 10 pages, revised ...
Perera, Kanishka, Squassina, Marco
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Diffeomorphism-invariant properties for quasi-linear elliptic operators
, 2011 For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate ...
A. Alvino +23 more
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