@article{Froehlich, author = {Fr{\"o}hlich, Steffen}, title = {Curvature estimates for \$\mu\$-stable G-minimal surfaces and theorems of Bernstein type}, language = {en} } @article{Mueller, author = {M{\"u}ller, Frank}, title = {H{\"o}lder continuity of surfaces with prescribed mean curvature at corners where Plateau boundaries meet free boundaries}, language = {en} } @article{Mueller, author = {M{\"u}ller, Frank}, title = {On stable surfaces of prescribed mean curvature with partially free boundaries}, language = {en} } @article{Sauvigny, author = {Sauvigny, Friedrich}, title = {{\"U}ber nichtlineare elliptische Differentialgleichungssysteme}, language = {de} } @article{Sauvigny, author = {Sauvigny, Friedrich}, title = {Deformation of boundary value problems for surfaces with prescribed mean curvature}, language = {en} } @article{Sauvigny, author = {Sauvigny, Friedrich}, title = {Introduction of isothermal parameters into a Riemannian metric by the continuity method}, language = {en} } @article{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge III. Existence of graph solutions and some uniqueness results}, language = {en} } @article{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge II. The edge-creeping phenomenon}, language = {en} } @article{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge I. Asymptotic expansions}, language = {en} } @article{HauerHeLiu, author = {Hauer, Daniel and He, Yuhan and Liu, Dehui}, title = {Fractional Powers of Monotone Operators in Hilbert Spaces}, series = {Advanced Nonlinear Studies}, volume = {19}, journal = {Advanced Nonlinear Studies}, number = {4}, publisher = {Walter de Gruyter GmbH}, issn = {1536-1365}, doi = {10.1515/ans-2019-2053}, pages = {717 -- 755}, abstract = {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. Br{\´e}zis, {\´E}quations d'{\´e}volution du second ordre associ{\´e}es {\`a} des op{\´e}rateurs 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].}, language = {en} } @article{HauerMazon, author = {Hauer, Daniel and Maz{\´o}n, Jos{\´e} M.}, title = {Kurdyka-Łojasiewicz-Simon inequality for gradient flows in metric spaces}, series = {Transactions of the American Mathematical Society}, volume = {372}, journal = {Transactions of the American Mathematical Society}, number = {7}, publisher = {American Mathematical Society (AMS)}, issn = {0002-9947}, doi = {10.1090/tran/7801}, pages = {4917 -- 4976}, language = {en} } @article{ChillHauerKennedy, author = {Chill, Ralph and Hauer, Daniel and Kennedy, James}, title = {Nonlinear semigroups generated by j-elliptic functionals}, series = {Journal de Math{\´e}matiques Pures et Appliqu{\´e}es}, volume = {105}, journal = {Journal de Math{\´e}matiques Pures et Appliqu{\´e}es}, number = {3}, publisher = {Elsevier BV}, issn = {0021-7824}, doi = {10.1016/j.matpur.2015.11.005}, pages = {415 -- 450}, language = {en} } @article{GoldsteinHauerRhandi, author = {Goldstein, Jerome A. and Hauer, Daniel and Rhandi, Abdelaziz}, title = {Existence and nonexistence of positive solutions of p-Kolmogorov equations perturbed by a Hardy potential}, series = {Nonlinear Analysis}, volume = {131}, journal = {Nonlinear Analysis}, publisher = {Elsevier BV}, issn = {0362-546X}, doi = {10.1016/j.na.2015.07.016}, pages = {121 -- 154}, language = {en} } @article{Hauer, author = {Hauer, Daniel}, title = {The p-Dirichlet-to-Neumann operator with applications to elliptic and parabolic problems}, series = {Journal of Differential Equations}, volume = {259}, journal = {Journal of Differential Equations}, number = {8}, publisher = {Elsevier BV}, issn = {0022-0396}, doi = {10.1016/j.jde.2015.04.030}, pages = {3615 -- 3655}, language = {en} } @article{DancerDanersHauer, author = {Dancer, E.N. and Daners, Daniel and Hauer, Daniel}, title = {Uniform convergence of solutions to elliptic equations on domains with shrinking holes}, series = {Advances in Differential Equations}, volume = {20}, journal = {Advances in Differential Equations}, number = {5/6}, publisher = {Khayyam Publishing, Inc}, issn = {1079-9389}, doi = {10.57262/ade/1427744013}, pages = {463 -- 494}, language = {en} } @article{HauerMazon, author = {Hauer, Daniel and Maz{\´o}n, Jos{\´e} M.}, title = {Regularizing effects of homogeneous evolution equations: the case of homogeneity order zero}, series = {Journal of Evolution Equations}, volume = {19}, journal = {Journal of Evolution Equations}, number = {4}, publisher = {Springer Science and Business Media LLC}, issn = {1424-3199}, doi = {10.1007/s00028-019-00502-y}, pages = {965 -- 996}, language = {en} }