Tolksdorf, Peter On the Dirichlet problem for quasilinear equations in domains with conical boundary points. (English) Zbl 0515.35024 Commun. Partial Differ. Equations 8, 773-817 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 217 Documents MSC: 35J25 Boundary value problems for second-order elliptic equations 35B40 Asymptotic behavior of solutions to PDEs Keywords:Dirichlet problem; quasilinear equations; conical boundary points PDF BibTeX XML Cite \textit{P. Tolksdorf}, Commun. Partial Differ. Equations 8, 773--817 (1983; Zbl 0515.35024) Full Text: DOI References: [1] Filippov A.F., Smoothness of generalized solutions close to vertices of polyhedral angles 9 pp 1453– (1973) · Zbl 0306.35040 [2] Grisvard P., Behaviour of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain pp 207– (1976) · Zbl 0361.35022 [3] Kondratjev V. A., Trans. of the Moscow Math. Soc of the year pp 227– (1967) [4] Strang G., An analysis of the finite element method (1973) · Zbl 0356.65096 [5] BLUM H. & DOBROWOLSKI M. , On finite element methods for elliptic equations on domains with corners , Computing, to appear. · Zbl 0465.65059 [6] Ladyzhenskaya O.A, Linear and quasilinear elliptic equations (1968) · Zbl 0164.13002 [7] Gilbarg D, Elliptic partial differential equations of second order (1977) · Zbl 0361.35003 [8] Krol I.N., Transactions of the Moscow Math. Soc. for the year 1972 pp 73– (1974) [9] Krol I.N, On solutions of the equation div with a particularity at a boundary point pp 127– (1973) [10] Kerol I.N, On the behaviour of the solutions of a quasilinear equation near a peak of the boundary pp 140– (1973) [11] TOLKSDORF P. , On the behaviour near the boundary of solutions of quasilinear equations , Analysis , to appear. · Zbl 0552.35029 [12] TOLKSDORF P. , Regularity for a more general class of quasilinear elliptic equations, J. of Fff. Equations , to a · Zbl 0488.35017 [13] Granlund S., Strong maximum principle for a quasilinear equation with applications 21 (1978) · Zbl 0418.35020 [14] Seerin J, Acta Math. 111 pp 247– (1964) · Zbl 0128.09101 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.