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Nonlinear double phase eigenvalue problems
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DOI：10.1177/10812865251397537.png)
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Abstract
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We consider a nonlinear eigenvalue problem driven by the double phase differential operator. We prove two existence theorems, both producing a continuous spectrum and the first generates eigenfunctions which blow up in the W-0(1,theta) (Omega) boolean AND L (R) (Omega)-norm ( 1 < q < p < r < q & lowast; ) , while the second generates eigenfunctions which vanish in the W-0(1,theta)(Omega) boolean AND L-infinity (Omega) -norm as lambda -> 0(+).
Keywords:
Unbalanced growth
generalized Orlicz spaces
continuous spectrum
bounded eigenfunctions
mountain pass theorem
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1.7
Papers:
152
Citations:
2.5K
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