Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 147, Issue 7, Pages 2899-2910Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/14466
Keywords
Nehari manifold; continuous spectrum; nonlinear regularity
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, J1-7025, N1-0064, N1-0083]
- DGISPI (Spain) [MTM2017-85449-P]
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We consider a nonlinear eigenvalue problem driven by the sum of p and q-Laplacians. We show that the problem has a continuous spectrum. Our result reveals a discontinuity property for the spectrum of a parametric (p, q)-differential operator as the parameter beta goes to 1(-).
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