Solvability of linear and semilinear eigenvalue problems with L 1 data

Luigi Orsina

Rendiconti del Seminario Matematico della Università di Padova (1993)

  • Volume: 90, page 207-238
  • ISSN: 0041-8994

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Orsina, Luigi. "Solvability of linear and semilinear eigenvalue problems with $L^1$ data." Rendiconti del Seminario Matematico della Università di Padova 90 (1993): 207-238. <http://eudml.org/doc/108304>.

@article{Orsina1993,
author = {Orsina, Luigi},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {linear elliptic operator; existence; Ambrosetti-Prodi problems},
language = {eng},
pages = {207-238},
publisher = {Seminario Matematico of the University of Padua},
title = {Solvability of linear and semilinear eigenvalue problems with $L^1$ data},
url = {http://eudml.org/doc/108304},
volume = {90},
year = {1993},
}

TY - JOUR
AU - Orsina, Luigi
TI - Solvability of linear and semilinear eigenvalue problems with $L^1$ data
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1993
PB - Seminario Matematico of the University of Padua
VL - 90
SP - 207
EP - 238
LA - eng
KW - linear elliptic operator; existence; Ambrosetti-Prodi problems
UR - http://eudml.org/doc/108304
ER -

References

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  1. [1] A. Dall'aglio, Some remarks on solutions of nonlinear elliptic and parabolic equations with L1 data: applications to the H-convergence of parabolic quasilinear equations, to appear. 
  2. [2] L. Boccardo - T. GALLOUËT, Nonlinear elliptic equations with right hand side measures, Comm. P.D.E., 17 (1992), pp. 641-655. Zbl0812.35043MR1163440
  3. [3] J. Serrin, Pathological solutions of elliptic differential equations, Ann. Sc. Norm. Pisa, 18 (1964), pp. 385-387. Zbl0142.37601MR170094
  4. [4] E.M. Landesmann - A.C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech., 19, 7 (1968), pp. 609-623. Zbl0193.39203MR267269
  5. [5] C.L. Dolph, Nonlinear integral equations of the Hammerstein type, Trans. Amer. Math. Soc., 66 (1949), pp. 289-307. Zbl0036.20202MR32923
  6. [6] R. Courant - D. Hilbert, Methods of Mathematical Physics, vol. I, Interscience Publishers, New York (1953). Zbl0051.28802MR65391
  7. [7] A. Ambrosetti - G. PRODI, On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pura Appl., 93 (1972), pp. 231-246. Zbl0288.35020MR320844
  8. [8] M.S. Berger - E. Podolak, On the solutions of a nonlinear Dirichlet problem, Indiana Univ. Math. J., 24, n. 9 (1975), pp. 837-846. Zbl0329.35026MR377274
  9. [9] T. Gallouët - O. KAVIAN, Resultats d'existence et de non-existence pour certains problèmes demi-linéaires a l'infini, Ann. Fac. Sci. Toulouse, 3 (1981), pp. 201-246. Zbl0495.35001MR658734
  10. [10] H. Berestycki, Le nombre des solutions de certains problèmes semilinéaires elliptiques, J. Funct. Anal, 40 (1981), pp. 1-29. Zbl0452.35038MR607588

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