Advanced search
Publication Cover
Communications in Partial Differential Equations Volume 20, 1995 - Issue 9-10
Submit an article Journal homepage
47
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Applications of the implicit function theorem to quasilinear elliptic boundary value problems with non-smooth data

Applications of the implicit function theorem

L. Recke Fachbereich Mathematik der Humboldt-Universität zu Berlin, Unter den Linden 6, Berlin, 10099, FRG
Pages 1457-1479 | Published online: 08 May 2007

  • Ambrosetti , A. 1993 . A Primer of Nonlinear Analysis , Cambridge : Univ. Press .
  • Appell , J. and Zabrejko , P.P. 1990 . Nonlinear Superposition Operators , Cambridge : Cambridge Univ. Press .
  • Babin , A.V. and Vishik , M.I. Attractors of Evolution Equations
  • Ball , J.M. , Knops , R.J. and Marsden , J.E. 1978 . “ Two examples in nonlinear elasticity ” . In Lecture Notes in Math. , Vol. 466 , 41 – 49 . New York : Springer .
  • Foias , C. and Temam , R. 1977 . Structure of the set of stationary solutions of the Navier-Stokes equations . Comm. Pure Appl. Math. , 30 : 149 – 164 .
  • Gröger , K. 1989 . A W1,pestimate for solutions to mixed boundary value problems for second order elliptic differential equations . Math. Ann. , 283 : 679 – 687 .
  • Liebermann , G.M. 1989 . Optimal Hölder regularity for mixed boundary value problems . J. Math. Anal. Appl. , 143 : 572 – 586 .
  • Markowich , P.A. 1986 . The Stationary Semiconductor Device Equations , Wien/New York : Springer-Verlag .
  • Marsden , J.E. 1983 . Mathematical Foundations of Elasticity , Redwood City : Prentice-Hall .
  • Pryde , A.J. 1981 . Second order elliptic equations with mixed boundary conditions . J. Math. Anal. Appl. , 80 : 203 – 244 .
  • Recke , L. 1994 . “ Solvability properties of linear elliptic boundary value problems with non-smooth data ” . In Preprint , Vol. 94 , Berlin : FB Mathematik der Humboldt-Universität zu Berlin .
  • Saut , J.C. and Temam , R. 1979 . Generic properties of nonlinear boundary value problems . Comm. Partial Differential Equations , 4 : 293 – 319 .
  • Simanca , S.R. 1987 . Mixed elliptic boundary value problems . Comm. Partial Differential Equations , 12 : 123 – 200 .
  • Troianiello , G.M. 1987 . Elliptic Differential Equations and Obstacle Problems , New York/London : Plenum Press .
  • Valent , T. 1988 . “ Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness and Analytic Dependence on Data ” . In Springer Tracts in Natural Philosophy , Vol. 31 , New York : Springer Verlag .
  • Zeidler , E. 1986 . “ Nonlinear Functional Analysis and its applications I. Fixed Point Theorems ” . In Springer Verlag , New York : Springer Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.