Solutions to the mean curvature equation by fixed point methods.
Mariani, M.C., Rial, D.F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Wolfgang Tutschke (1983)
Banach Center Publications
Leonid Berlyand, Volodymyr Rybalko (2010)
Journal of the European Mathematical Society
We study solutions of the 2D Ginzburg–Landau equation subject to “semi-stiff” boundary conditions: Dirichlet conditions for the modulus, , and homogeneous Neumann conditions for the phase. The principal result of this work shows that there are stable solutions of this problem with zeros (vortices), which are located near the boundary and have bounded energy in the limit of small . For the Dirichlet boundary condition (“stiff” problem), the existence of stable solutions with vortices, whose energy...
Italo Capuzzo Dolcetta (2001)
Bollettino dell'Unione Matematica Italiana
This is the expanded text of a lecture about viscosity solutions of degenerate elliptic equations delivered at the XVI Congresso UMI. The aim of the paper is to review some fundamental results of the theory as developed in the last twenty years and to point out some of its recent developments and applications.
V. Vougalter, V. Volpert (2012)
Mathematical Modelling of Natural Phenomena
We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].
Alessandro Oliaro, Luigi Rodino (2003)
Banach Center Publications
We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in , 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class with respect to all variables.
Alois Kufner, Salvatore Leonardi (1994)
Mathematica Bohemica
Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.
Luigi Orsina (1993)
Rendiconti del Seminario Matematico della Università di Padova
Cavalheiro, Albo Carlos (2004)
Abstract and Applied Analysis
Pavel Drábek (1982)
Commentationes Mathematicae Universitatis Carolinae
Žubrinić, Darko (2000)
Abstract and Applied Analysis
Petronije S. Milojević (1987)
Commentationes Mathematicae Universitatis Carolinae
Boccia, Serena, Monsurrò, Sara, Transirico, Maria (2008)
Boundary Value Problems [electronic only]
Wojciech M. Zajączkowski (2010)
Applicationes Mathematicae
The aim of this paper is to prove the existence of solutions to the Poisson equation in weighted Sobolev spaces, where the weight is the distance to some distinguished axis, raised to a negative power. Therefore we are looking for solutions which vanish sufficiently fast near the axis. Such a result is useful in the proof of the existence of global regular solutions to the Navier-Stokes equations which are close to axially symmetric solutions.
Pavel Drábek (1981)
Commentationes Mathematicae Universitatis Carolinae
Mohyud-Din, Syed Tauseef (2009)
Mathematical Problems in Engineering
Helmut Jarausch, Wolfgang Mackens (1986/1987)
Numerische Mathematik
Benalili, Mohammed, Maliki, Youssef (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Goldberg, Maxim J., Kim, Seonja (2002)
International Journal of Mathematics and Mathematical Sciences
Mikhajlov, G.A., Lukinov, V.L. (2001)
Sibirskij Matematicheskij Zhurnal