Special Issue in honor of Alan C. Lazer. Electron. J. Diff. Eqns., Special Issue 01 (2021), pp. 213-224.

Infinite dimensional extensions of the Landesman-Lazer theorem

Martin Schechter

Abstract:
We show that many of the results obtained for the Landesman-Lazer type problems can be extended to operators having unbounded essential spectra stretching from -∞ to +∞. The only requirement is that they have an isolated eigenvalue of finite multiplicity.

Published October 6, 2021.
Math Subject Classifications: 35J35, 47J30, 49J35, 49J40, 58K05.
Key Words: Critical point theory; variational methods; saddle point theory; semilinear differential equations
DOI: https://doi.org/10.58997/ejde.sp.01.s2

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This article was published posthumously.

Martin Schechter
Department of Mathematics
University of California
Irvine, CA 92697-3875, USA

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