Title | Partial Differential Equations and Calculus of Variations [electronic resource] / edited by Stefan Hildebrandt, Rolf Leis |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1988 |
Connect to | http://dx.doi.org/10.1007/BFb0082859 |
Descript | VIII, 428 p. online resource |
On the existence in the large of solutions to the one-dimensional, isentropic hydrodynamic equations in a bounded domain -- Initial-boundary value and scattering problems in mathematical physics -- On shape optimization of a turbine blade -- Free boundary problems for the Navier-Stokes equations -- A geometric maximum principle, plateauโs problem for surfaces of prescribed mean curvature, and the two dimensional analogue of the catenary -- Finite Elements for the Beltrami operator on arbitrary surfaces -- Comparison principles in capillarity -- Remarks on diagonal elliptic systems -- Quasiconvexity, growth conditions and partial regularity -- The monotonicity formula in geometric measure theory, and an application to a partially free boundary problem -- Isoperimetric problems having continua of solutions -- Harmonic maps โ Analytic theory and geometric significance -- Asymptotic behavior of solutions of some quasilinear elliptic systems in exterior domains -- Decomposition theorems and their application to non-linear electro- and magneto-static boundary value problems -- Initial boundary value problems in thermoelasticity -- Applications of variational methods to problems in the geometry of surfaces -- Open problems in the degree theory for disc minimal surfaces spanning a curve in ?3 -- On a modified version of the free geodetic boundary-value problem