Nonlinear problems with solutions exhibiting a free boundary on the boundary

Juan Dávila; Marcelo Montenegro

Annales de l'I.H.P. Analyse non linéaire (2005)

  • Volume: 22, Issue: 3, page 303-330
  • ISSN: 0294-1449

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Dávila, Juan, and Montenegro, Marcelo. "Nonlinear problems with solutions exhibiting a free boundary on the boundary." Annales de l'I.H.P. Analyse non linéaire 22.3 (2005): 303-330. <http://eudml.org/doc/78658>.

@article{Dávila2005,
author = {Dávila, Juan, Montenegro, Marcelo},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonlinear boundary condition; maximal solution; Hardy inequality; existence},
language = {eng},
number = {3},
pages = {303-330},
publisher = {Elsevier},
title = {Nonlinear problems with solutions exhibiting a free boundary on the boundary},
url = {http://eudml.org/doc/78658},
volume = {22},
year = {2005},
}

TY - JOUR
AU - Dávila, Juan
AU - Montenegro, Marcelo
TI - Nonlinear problems with solutions exhibiting a free boundary on the boundary
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2005
PB - Elsevier
VL - 22
IS - 3
SP - 303
EP - 330
LA - eng
KW - nonlinear boundary condition; maximal solution; Hardy inequality; existence
UR - http://eudml.org/doc/78658
ER -

References

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  8. [8] Levine H.A., Lieberman G.M., Quenching of solutions of parabolic equations with nonlinear boundary conditions in several dimensions, J. Reine Angew. Math.345 (1983) 23-38. Zbl0519.35041MR717884
  9. [9] Lieberman G.M., Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal.12 (1988) 1203-1219. Zbl0675.35042MR969499
  10. [10] Lions J.L., Magenes E., Problemi ai limiti non omogenei. V, Ann. Scuola Norm Sup. Pisa16 (1962) 1-44. Zbl0115.31401MR146527
  11. [11] K. Medville, M. Vogelius, Blow up behaviour of planar harmonic functions satisfying a certain exponential Neumann boundary condition, preprint. Zbl1130.35067MR2178221
  12. [12] Phillips D., A minimization problem and the regularity of solutions in the presence of a free boundary, Indiana Univ. Math. J.32 (1983) 1-17. Zbl0545.35013MR684751
  13. [13] Santosa F., Vogelius M., Xu J.-M., An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data, Z. Angew. Math. Phys.49 (1998) 656-679. Zbl0908.35137MR1639381
  14. [14] Vogelius M., Xu J.-M., A nonlinear elliptic boundary value problem related to corrosion modeling, Quart. Appl. Math.56 (1998) 479-505. Zbl0954.35067MR1637048

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