This paper is concerned with sublinear perturbations of resonant linear problems (Landesman-Lazer problems). We establish some a priori bounds and use these together with Leray-Schauder continuation and bifurcation arguments to obtain extensions of some known results where the nonlinear perturbation terms are bounded.
problems at resonance bifurcation from infinity sublinear perturbation
1980 Mathematics subject classifications
35B15 47H15 58E07
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S. Ahmad, A. Lazer, and J. Paul, Elementary critical point theory and perturbations of elliptic boundary value problems at resonance, Indiana Univ. Math. J. 25 (1976), 933–944.MathSciNetMATHCrossRefGoogle Scholar