caa a22 4500 477076734 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF00047923 doi (NATIONALLICENCE)springer-10.1007/BF00047923 On general boundary-value problems for nonlinear elliptic equations of second order in a multiply connected plane domain [Elektronische Daten] [Guo-Chun Wen, Chung-Chun Yang] This paper deals with some general irregular oblique derivative problems for nonlinear uniformly elliptic equations of second order in a multiply connected plane domain. Firstly, we state the well-posedness of a new set of modified boundary conditions. Secondly, we verify the existence of solutions of the modified boundary-value problem for harmonic functions, and then prove the solvability of the modified problem for nonlinear elliptic equations, which includes the original boundary-value problem (i.e. boundary conditions without involving undertermined functions data). Here, mainly, the location of the zeros of analytic functions, a priori estimates for solutions and the continuity method are used in deriving all these results. Furthermore, the present approach and setting seems to be new and different from what has been employed before. Kluwer Academic Publishers, 1996 irregular oblique derivative nationallicence nonlinear elliptic equations nationallicence multiply connected domain nationallicence Wen Guo-Chun Department of Mathematics, Peking University, 100871, Beijing, P.R. China aut Yang Chung-Chun Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong aut Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 43/2(1996-05-01), 169-189 0167-8019 43:2<169 1996 43 10440 https://doi.org/10.1007/BF00047923 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00047923 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wen Guo-Chun Department of Mathematics, Peking University, 100871, Beijing, P.R. China aut NATIONALLICENCE 700 1- Yang Chung-Chun Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 43/2(1996-05-01), 169-189 0167-8019 43:2<169 1996 43 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer