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35J40 Boundary value problems for higher-order, elliptic equations (42 articles)

• Yuan, Hongfen; Karachik, Valery V.: Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 2, pp. 523-539
• Tami, Abdelkader; Tlemcani, Mounir: $H^2$ convergence of solutions of a biharmonic problem on a truncated convex sector near the angle $\pi $. (English). Applications of Mathematics, vol. 66 (2021), issue 3, pp. 383-395
• Tami, Abdelkader: The elliptic problems in a family of planar open sets. (English). Applications of Mathematics, vol. 64 (2019), issue 5, pp. 485-499
• Vasilyev, Vladimir: On the Dirichlet and Neumann problems in multi-dimensional cone. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 333-340
• Andreev, Andrey; Racheva, Milena: Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 371-390
• Bímová, Daniela; Černá, Dana; Finěk, Václav: Wavelet bases for the biharmonic problem. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 15-20
• Segeth, Karel: A comparison of some a posteriori error estimates for fourth order problems. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 164-170
• Galewski, M.; Płócienniczak, M.: On the existence and the stability of solutions for higher-order semilinear Dirichlet problems. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 647-669
• Benyaiche, Allami; Ghiate, Salma: Martin boundary associated with a system of PDE. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 3, pp. 399-425
• Lukáš, Dalibor: On solution to an optimal shape design problem in 3-dimensional linear magnetostatics. (English). Applications of Mathematics, vol. 49 (2004), issue 5, pp. 441-464
• Hlaváček, Ivan; Křížek, Michal: On exact results in the finite element method. (English). Applications of Mathematics, vol. 46 (2001), issue 6, pp. 467-478
• Mustonen, Vesa; Tienari, Matti: On monotone-like mappings in Orlicz-Sobolev spaces. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 255-271
• Maz'ya, Vladimir: On Wiener's type regularity of a boundary point for higher order elliptic equations. (English). In: Krbec, Miroslav and Kufner, Alois (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, May 31-June 6, 1998. Vol. 6. Czech Academy of Sciences, Mathematical Institute, Praha, 1999. pp. 119-155
• Furusho, Yasuhiro; Kusano, Takaŝi: A supersolution-subsolution method for nonlinear biharmonic equations in $\mathbb{R}^N$. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 749-768
• Práger, Milan: The general form of local bilinear functions. (English). Applications of Mathematics, vol. 38 (1993), issue 2, pp. 145-157
• Viszus, Eugen: On the regularity up to the boundary for higher order quasilinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 295-306
• Vu, Van Khuong: The coercitivity of elliptic sesquilinear forms on the Sobolev spaces $[W_2^(s)(\Omega)]^M$ [Abstract of thesis]. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 197
• Nekvinda, Aleš; Pick, Luboš: A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^\epsilon_M$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 63-71
• Hlaváček, Ivan; Křížek, Michal: Internal finite element approximation in the dual variational method for the biharmonic problem. (English). Aplikace matematiky, vol. 30 (1985), issue 4, pp. 255-273
• Vajteršic, Marián: Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem. (English). Aplikace matematiky, vol. 30 (1985), issue 3, pp. 176-186
• Cibula, Július: Équations de von Kármán. II. Approximation de la solution. (French) [Von Kármán equations. II. Approximation of the solution]. Aplikace matematiky, vol. 30 (1985), issue 1, pp. 1-10
• Cibula, Július: Equations de von Kármán. I. Résultat d'existence pour les problèmes aux limites non homogènes. (French) [Von Kármán equations. I. Existence result for nonhomogeneous boundary value problems]. Aplikace matematiky, vol. 29 (1984), issue 5, pp. 317-332
• Egorov, I. E.: О глобальном решении для нелинейного гиперболо-параболичесного уравнения. (Russian) [Global solution for a nonlinear hyperbolic-parabolic equation]. Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 1, pp. 93-99
• Hřebíček, Jiří: Numerical analysis of the general biharmonic problem by the finite element method. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 352-374
• Drábek, Pavel: Solvability of nonlinear problems at resonance. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 2, pp. 359-368
• Wildenhain, Günther: About the representation of solutions of linear elliptic equations of arbitrary order. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 366-369
• Drábek, Pavel: Bounded nonlinear perturbations of second order linear elliptic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 2, pp. 215-221
• Ženíšek, Alexander: Nonhomogeneous boundary conditions and curved triangular finite elements. (English). Aplikace matematiky, vol. 26 (1981), issue 2, pp. 121-141
• Wendland, Wolfgang L.: On boundary element methods for solving elliptic boundary value problems. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 360-365
• Drábek, Pavel: Solvability of the superlinear elliptic boundary value problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 1, pp. 27-35
• Ženíšek, Alexander: Curved triangular finite $C^m$-elements. (English). Aplikace matematiky, vol. 23 (1978), issue 5, pp. 346-377
• Triebel, H.: Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces $B^s_{p,p}(\Omega)$. The case $0<p<\infty$. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [424]-432
• Rektorys, K.: The method of least squares on the boundary and very weak solutions of the first biharmonic problem. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [348]-355
• Rektorys, Karel; Danešová, Jana; Matyska, Jiří; Vitner, Čestmír: Solution of the first problem of plane elasticity for multiply connected regions by the method of least squares on the boundary. I. (English). Aplikace matematiky, vol. 22 (1977), issue 5, pp. 349-394
• Rektorys, Karel; Danešová, Jana; Matyska, Jiří; Vitner, Čestmír: Solution of the first problem of plane elasticity for multiply connected regions by the method of least squares on the boundary. II. (English). Aplikace matematiky, vol. 22 (1977), issue 6, pp. 425-454
• Kufner, A.: Some modifications of Sobolev spaces and non-linear boundary value problems. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [213]-223
• Krbec, Miroslav: On $L^p$-estimates for solutions of elliptic boundary value problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 2, pp. 363-375
• Naumann, Joachim: On some unilateral boundary value problems for the von Kármán equations. Part I: The coercive case. (English). Aplikace matematiky, vol. 20 (1975), issue 2, pp. 96-125
• Haslinger, Jaroslav: Sur la solution d'un problème de la plaque. (French) [On the solution of a plate problem]. Aplikace matematiky, vol. 19 (1974), issue 5, pp. 316-326
• Haslinger, Jaroslav; Hlaváček, Ivan: A mixed finite element method close to the equilibrium model (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 2, pp. 345-350
• Rektorys, Karel; Zahradník, Václav: Solution of the first biharmonic problem by the method of least squares on the boundary. (English). Aplikace matematiky, vol. 19 (1974), issue 2, pp. 101-131
• Janovský, Vladimír: Elliptic boundary value problems with nonvariational perturbation and the finite element method. (English). Aplikace matematiky, vol. 18 (1973), issue 6, pp. 422-433