Results 41 to 50 of about 451 (89)

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, C.T. McMullen, H.B. Lawson Jr, J. Sacks, J.L. Kazdan, J.L. Kazdan, K. Krasnov, K. Krasnov, M. Freedman, Marcello Lucia, R. Guo, R. Schoen, S.A. Wolpert, T.H. Colding, T.H. Colding, T.H. Colding, W.H. Meeks III, Zheng Huang   +17 more
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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
core  

Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

, 2013
In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad u \in H^1_0(\Omega) \cap L^{\infty}(\Omega), \end{array} \end{equation ...
Arcoya, David, De Coster, Colette, Jeanjean, Louis, Tanaka, Kazunaga   +3 more
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Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data

Nonautonomous Dynamical Systems, 2022
In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type {Au+g(x,u,∇u)=μ−div φ(u)in Ω,u=0on  ∂Ω,\left\{ {\matrix{{Au + g\left( {x,u,\nabla u} \right) = \mu - div\,\phi \left( u \right)} \hfill &
Al-Hawmi Mohammed, Hjiaj Hassane
doaj   +1 more source

Ground state solutions for the Hénon prescribed mean curvature equation

Advances in Nonlinear Analysis, 2018
In this paper, we consider the analogous of the Hénon equation for the prescribed mean curvature problem in ℝN{{\mathbb{R}^{N}}}, both in the Euclidean and in the Minkowski spaces. Motivated by the studies of Ni and Serrin [W. M. Ni and J.
Azzollini Antonio
doaj   +1 more source

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, A. Ambrosetti, A. Canino, B. Pellacci, B. Pellacci, B. Pellacci, D. Arcoya, D. Arcoya, D. Arcoya, G. Dal Maso, J. Frehse, J.-N. Corvellec, L. Boccardo, L. Boccardo, L. Boccardo, L. Boccardo, M. Degiovanni, M. Degiovanni, M. Degiovanni, M. Squassina, M. Struwe, Marco Squassina, Viviana Solferino, Z. Li   +23 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
core  

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
doaj   +1 more source

Multiplicity of Positive Solutions for a Quasilinear Schrödinger Equation with an Almost Critical Nonlinearity

Advanced Nonlinear Studies, 2020
In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem:
Figueiredo Giovany M., Severo Uberlandio B., Siciliano Gaetano   +2 more
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Existence of solutions for a class of quasilinear Schrödinger equations with Choquard-type nonlinearity

Advances in Nonlinear Analysis
For the following quasilinear Choquard-type equation: −Δu−Δ(u2)u+V(x)u=(Iμ*∣u∣p)∣u∣p−2u,x∈RN,-\Delta u-\Delta \left({u}^{2})u+V\left(x)u=\left({I}_{\mu }* {| u| }^{p}){| u| }^{p-2}u,\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥3 ...
Shen Zifei, Yang Ning
doaj   +1 more source