. "RIV/00216208:11320/05:00000884" . "P(GA201/03/0934), Z(MSM 113200007)" . . "RIV/00216208:11320/05:00000884!RIV06-MSM-11320___" . "H\u00F6lderovsk\u00E1 spojitost slab\u00FDch \u0159e\u0161en\u00ED line\u00E1rn\u00EDch syst\u00E9m\u016F s ne- hladk\u00FDmi koeficienty na uz\u00E1v\u011Bru oblasti je dok\u00E1z\u00E1na za p\u0159edpo- klad\u016F na rozptyl vlastn\u00EDch \u010D\u00EDsel matice koeficient\u016F. Z\u00EDskan\u00E9 v\u00FDsledky lze aplikovat na quasiline\u00E1rn\u00ED a neline\u00E1rn\u00ED eliptick\u00E9 syst\u00E9my. D\u00E1le je dok\u00E1z\u00E1na xistemce a jednozna\u010Dnost velmi sla- b\u00FDch \u0159e\u0161en\u00ED takov\u00FDch syst\u00E9m\u016F s praou stranou v prostoru L_1."@cs . . "H\u00F6lderovsk\u00E1 spojitost \u0159e\u0161en\u00ED t\u0159\u00EDd eliptick\u00FDch syst\u00E9m\u016F na konvexn\u00EDch nehladk\u00FDch oblastech"@cs . . "H\u00F6lder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains"@en . . "We prove H\u00F6lder continuity up to the boundaryof a convex nonsmooth domain of weak solutions to a class of linear second order elliptic systems with discontinuous coefficients under a suitable condition on the dispersion of eigenvalues of the coefficients matrix. The above results are applied to quasilinear and nonlinear systems. Moreover, the existence and uniqueness of very weak solutions with L_1 right hand sides is proved."@en . "Star\u00E1, Jana" . "H\u00F6lder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains" . . . "5" . . "We prove H\u00F6lder continuity up to the boundaryof a convex nonsmooth domain of weak solutions to a class of linear second order elliptic systems with discontinuous coefficients under a suitable condition on the dispersion of eigenvalues of the coefficients matrix. The above results are applied to quasilinear and nonlinear systems. Moreover, the existence and uniqueness of very weak solutions with L_1 right hand sides is proved." . "H\u00F6lder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains"@en . . "H\u00F6lderovsk\u00E1 spojitost \u0159e\u0161en\u00ED t\u0159\u00EDd eliptick\u00FDch syst\u00E9m\u016F na konvexn\u00EDch nehladk\u00FDch oblastech"@cs . "11320" . . "1"^^ . . "3"^^ . "523695" . . . . "925;944" . . . "H\u00F6lder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains" . . . "20"^^ . . . "60" . "H\u00F6lder; regularity; solutions; classes; elliptic; systems; convex; nonsmooth; domains"@en . "Nonlinear analysis - Theory Methods and Applications" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . "0362-546X" . . . "[916DA8E1E8CC]" .