Boundedness and continuity of solutions to second order elliptic boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 26, Issue 3, 1996, Pages 539-549

  Gröger, Konrad ^a  

^a Inst F Angew Anal Und Stochastik   (Germany)

Author keywords

Boundedness; Continuity; Elliptic boundary value problems; Estimates in interpolation spaces; Mixed boundary conditions

Indexed keywords

EID: 13544255811     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00297-U     Document Type: Article

References (8)

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2. KOŠELEV A. I., Regularity of Solutions to Elliptic Equations and Systems. Nauka, Moscow (1986). (In Russian.)
3. 1,p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations, Math. Annln 283, 679-687 (1989).
4. SIMADER C. G., On Dirichlet's Boundary Value Problem, Lecture Notes in Mathematics, Vol. 268. Springer, Berlin (1972).
5. ZAANEN A. C., Linear Analysis. North-Holland, Amsterdam (1956).
6. ZEIDLER E., Nonlinear Functional Analysis and its Applications, Part IIb: Nonlinear Monotone Operators. Springer, Berlin (1989).
7. GILBARG D. & TRUDINGER N., Elliptic Partial Differential Equations of Second Order, 2nd edition. Springer, Berlin (1983).
8. NEČAS J., Les méthodes directes en théorie des équations elliptiques. Academia, Prague (1967).