@article{RSMUP_1993__90__207_0, author = {Orsina, Luigi}, title = {Solvability of linear and semilinear eigenvalue problems with $L^1$ data}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {90}, year = {1993}, pages = {207-238}, mrnumber = {1257140}, zbl = {0822.35106}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1993__90__207_0} }
Orsina, Luigi. Solvability of linear and semilinear eigenvalue problems with $L^1$ data. Rendiconti del Seminario Matematico della Università di Padova, Tome 90 (1993) pp. 207-238. http://gdmltest.u-ga.fr/item/RSMUP_1993__90__207_0/
[1] 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] T. GALLOUËT, Nonlinear elliptic equations with right hand side measures, Comm. P.D.E., 17 (1992), pp. 641-655. | MR 1163440 | Zbl 0812.35043
-[3] Pathological solutions of elliptic differential equations, Ann. Sc. Norm. Pisa, 18 (1964), pp. 385-387. | Numdam | MR 170094 | Zbl 0142.37601
,[4] Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech., 19, 7 (1968), pp. 609-623. | MR 267269 | Zbl 0193.39203
- ,[5] Nonlinear integral equations of the Hammerstein type, Trans. Amer. Math. Soc., 66 (1949), pp. 289-307. | MR 32923 | Zbl 0036.20202
,[6] Methods of Mathematical Physics, vol. I, Interscience Publishers, New York (1953). | MR 65391 | Zbl 0051.28802
- ,[7] G. PRODI, On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pura Appl., 93 (1972), pp. 231-246. | MR 320844 | Zbl 0288.35020
-[8] On the solutions of a nonlinear Dirichlet problem, Indiana Univ. Math. J., 24, n. 9 (1975), pp. 837-846. | MR 377274 | Zbl 0329.35026
- ,[9] 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. | Numdam | MR 658734 | Zbl 0495.35001
-[10] Le nombre des solutions de certains problèmes semilinéaires elliptiques, J. Funct. Anal, 40 (1981), pp. 1-29. | MR 607588 | Zbl 0452.35038
,