Necessary and sufficient condition for existence for a case of eigenvalues of multiplicity two
DOI:
https://doi.org/10.58997/ejde.2024.09Keywords:
Existence of solutions; Landesman-Lazer condition; resonanceAbstract
We establish necessary and sufficient condition for existence of solutions for a class of semilinear Dirichlet problems with the linear part at resonance at eigenvalues of multiplicity two. The result is applied to give a condition for unboundness of all solutions of the corresponding semilinear heat equation.
For more information see https://ejde.math.txstate.edu/Volumes/2024/09/abstr.html
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