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On a Superlinear Ambrosetti–Prodi Problem in Besov and Triebel–Lizorkin Spaces
Author(s) -
Geisler Michael,
Runst Thomas
Publication year - 1991
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-43.2.324
Subject(s) - mathematics , differentiable function , inversion (geology) , gravitational singularity , pure mathematics , mathematical analysis , banach space , boundary value problem , boundary (topology) , geology , paleontology , structural basin
The paper deals with superlinear elliptic boundary‐value problems in Besov and Triebel–Lizorkin spaces. The methods for inversion of differentiable maps with singularities going back to A. Ambrosetti and G. Prodi are generalized for dual rich quasi‐Banach spaces.