Abstract
We consider a two phase eigenvalue problem driven by the (p,q)-Laplacian plus an indefinite and unbounded potential, and Robin boundary condition. Using a modification of the Nehari manifold method, we show that there exists a nontrivial open interval I⊆R such that every λ∈I is an eigenvalue with positive eigenfunctions. When we impose additional regularity conditions on the potential function and the boundary coefficient, we show that we have smooth eigenfunctions.
Lingua originale | English |
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pagine (da-a) | 4102-4118 |
Numero di pagine | 17 |
Rivista | Journal of Differential Equations |
Volume | 268 |
Stato di pubblicazione | Published - 2020 |
All Science Journal Classification (ASJC) codes
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- ???subjectarea.asjc.2600.2604???