TY - JOUR A1 - Fröhlich, Steffen T1 - Curvature estimates for $\mu$-stable G-minimal surfaces and theorems of Bernstein type KW - curvature estimatesG-minimal surfacesa priori estimates Y1 - 2002 ER - TY - JOUR A1 - Müller, Frank T1 - Hölder continuity of surfaces with prescribed mean curvature at corners where Plateau boundaries meet free boundaries KW - surfaces with prescribed mean curvature Y1 - 2005 ER - TY - JOUR A1 - Müller, Frank T1 - On stable surfaces of prescribed mean curvature with partially free boundaries KW - stable surfaces of prescribedmean curvature partially free boundaries Y1 - 2005 ER - TY - JOUR A1 - Sauvigny, Friedrich T1 - Über nichtlineare elliptische Differentialgleichungssysteme Y1 - 2004 ER - TY - JOUR A1 - Sauvigny, Friedrich T1 - Deformation of boundary value problems for surfaces with prescribed mean curvature Y1 - 2001 ER - TY - JOUR A1 - Sauvigny, Friedrich T1 - Introduction of isothermal parameters into a Riemannian metric by the continuity method Y1 - 1999 ER - TY - JOUR A1 - Sauvigny, Friedrich A1 - Hildebrandt, Stefan T1 - Minimal surfaces in a wedge III. Existence of graph solutions and some uniqueness results Y1 - 1999 ER - TY - JOUR A1 - Sauvigny, Friedrich A1 - Hildebrandt, Stefan T1 - Minimal surfaces in a wedge II. The edge-creeping phenomenon Y1 - 1997 ER - TY - JOUR A1 - Sauvigny, Friedrich A1 - Hildebrandt, Stefan T1 - Minimal surfaces in a wedge I. Asymptotic expansions Y1 - 1997 ER - TY - JOUR A1 - Hauer, Daniel A1 - He, Yuhan A1 - Liu, Dehui T1 - Fractional Powers of Monotone Operators in Hilbert Spaces JF - Advanced Nonlinear Studies N2 - The aim of this article is to provide a functional analytical framework for defining the fractional powers As for −1 < s < 1 of maximal monotone (possibly multivalued and nonlinear) operators A in Hilbert spaces.We investigate the semigroup {e−As t}t≥0 generated by −As, prove comparison principles and interpolations properties of {e−As t}t≥0 in Lebesgue and Orlicz spaces. We give sufficient conditions implying that As has a sub-differential structure. These results extend earlier ones obtained in the case s = 1/2 for maximal monotone operators [H. Brézis, Équations d’évolution du second ordre associées à des opérateurs monotones, Israel J. Math. 12 (1972), 51–60], [V. Barbu, A class of boundary problems for second order abstract differential equations, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 19 (1972), 295–319], [V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff international, Leiden, 1976], [E. I. Poffald and S. Reich, An incomplete Cauchy problem, J. Math. Anal. Appl. 113 (1986), no. 2, 514–543], and the recent advances for linear operators A obtained in [L. Caffarelli and L. Silvestre, An extension problem related to the fractional Laplacian, Comm. Partial Differential Equations 32 (2007), no. 7–9, 1245–1260], [P. R. Stinga and J. L. Torrea, Extension problem and Harnack’s inequality for some fractional operators, Comm. Partial Differential Equations 35 (2010), no. 11, 2092–2122]. Y1 - 2019 U6 - https://doi.org/10.1515/ans-2019-2053 SN - 1536-1365 VL - 19 IS - 4 SP - 717 EP - 755 PB - Walter de Gruyter GmbH ER - TY - JOUR A1 - Hauer, Daniel A1 - Mazón, José M. T1 - Kurdyka–Łojasiewicz–Simon inequality for gradient flows in metric spaces JF - Transactions of the American Mathematical Society Y1 - 2019 U6 - https://doi.org/10.1090/tran/7801 SN - 0002-9947 VL - 372 IS - 7 SP - 4917 EP - 4976 PB - American Mathematical Society (AMS) ER - TY - JOUR A1 - Chill, Ralph A1 - Hauer, Daniel A1 - Kennedy, James T1 - Nonlinear semigroups generated by j-elliptic functionals JF - Journal de Mathématiques Pures et Appliquées Y1 - 2016 U6 - https://doi.org/10.1016/j.matpur.2015.11.005 SN - 0021-7824 VL - 105 IS - 3 SP - 415 EP - 450 PB - Elsevier BV ER - TY - JOUR A1 - Goldstein, Jerome A. A1 - Hauer, Daniel A1 - Rhandi, Abdelaziz T1 - Existence and nonexistence of positive solutions of p-Kolmogorov equations perturbed by a Hardy potential JF - Nonlinear Analysis Y1 - 2016 U6 - https://doi.org/10.1016/j.na.2015.07.016 SN - 0362-546X VL - 131 SP - 121 EP - 154 PB - Elsevier BV ER - TY - JOUR A1 - Hauer, Daniel T1 - The p-Dirichlet-to-Neumann operator with applications to elliptic and parabolic problems JF - Journal of Differential Equations Y1 - 2015 U6 - https://doi.org/10.1016/j.jde.2015.04.030 SN - 0022-0396 VL - 259 IS - 8 SP - 3615 EP - 3655 PB - Elsevier BV ER - TY - JOUR A1 - Dancer, E.N. A1 - Daners, Daniel A1 - Hauer, Daniel T1 - Uniform convergence of solutions to elliptic equations on domains with shrinking holes JF - Advances in Differential Equations Y1 - 2015 U6 - https://doi.org/10.57262/ade/1427744013 SN - 1079-9389 VL - 20 IS - 5/6 SP - 463 EP - 494 PB - Khayyam Publishing, Inc ER - TY - JOUR A1 - Hauer, Daniel A1 - Mazón, José M. T1 - Regularizing effects of homogeneous evolution equations: the case of homogeneity order zero JF - Journal of Evolution Equations Y1 - 2019 U6 - https://doi.org/10.1007/s00028-019-00502-y SN - 1424-3199 VL - 19 IS - 4 SP - 965 EP - 996 PB - Springer Science and Business Media LLC ER -