Uniqueness for positive solutions of p -Laplacian problem in an annulus

Eric Nabana

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 1, page 143-154
  • ISSN: 0240-2963

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Nabana, Eric. "Uniqueness for positive solutions of $p$-Laplacian problem in an annulus." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.1 (1999): 143-154. <http://eudml.org/doc/73475>.

@article{Nabana1999,
author = {Nabana, Eric},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {-Laplacian; uniqueness; radial solutions},
language = {eng},
number = {1},
pages = {143-154},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Uniqueness for positive solutions of $p$-Laplacian problem in an annulus},
url = {http://eudml.org/doc/73475},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Nabana, Eric
TI - Uniqueness for positive solutions of $p$-Laplacian problem in an annulus
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 1
SP - 143
EP - 154
LA - eng
KW - -Laplacian; uniqueness; radial solutions
UR - http://eudml.org/doc/73475
ER -

References

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  1. [1] Coffman ( C.V.) .— On the positive solutions of boundary value problems for a class of nonlinear differential equations, J. Diff. Eqns3 (1967), pp. 92-111. Zbl0152.08603MR204755
  2. [2] Coffman ( C.V.) . - Uniqueness of the ground state solution for Δu - u + u3 = 0 and a variational characterization for other solutions, Arch. Rational Mech. Anal.46 (1972), pp. 81-95. Zbl0249.35029MR333489
  3. [3] Kolodner ( I.I.) .— Heavy rotating string — a nonlinear eigenvalue problem, Comm. Pure Appl. Math.8 (1955), pp. 395-408. Zbl0065.17202MR71605
  4. [4] Nabana ( E.) and De Thelin ( F.) .- Unicité de la solution radiale positive de l'équation quasilinéaire : Δpu + f(u, |x|) = 0, C. R. Acad. Sc.Paris307 (1988), pp. 763-766. Zbl0697.35053MR972076
  5. [5] Nabana ( E.) and De Thelin ( F.) .— On uniqueness of positive solution for quasilinear elliptic equation, Nonlinear Analysis TMA31, No 3/4 (1998), pp. 413-430. Zbl0885.35034MR1487553
  6. [6] Ni ( W.M.) .- Uniqueness of solutions of nonlinear Dirichlet problems, J. Diff. Eqns50 (1983), pp. 289-304. Zbl0476.35033MR719451
  7. [7] Ni ( W.M.) and Nussbaum ( R.D.) .- Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0, Comm. Pure Appl. Math.38 (1985), pp. 67-108. Zbl0581.35021MR768105

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