We consider a double phase (unbalanced growth) Dirichlet problem with a Carathéodory reaction f(z ,x) which is superlinear in x but without satisfying the AR-condition. Using the symmetric mountain pass theorem, we produce a whole sequence of distinct bounded solutions which diverge to infinity.
Papageorgiou N.S., Vetro C., Vetro F. (2023). Divergent sequence of nontrivial solutions for superlinear double phase problems. ASYMPTOTIC ANALYSIS, 134(1-2), 183-192 [10.3233/ASY-231830].
Divergent sequence of nontrivial solutions for superlinear double phase problems
Vetro C.
;
2023-01-01
Abstract
We consider a double phase (unbalanced growth) Dirichlet problem with a Carathéodory reaction f(z ,x) which is superlinear in x but without satisfying the AR-condition. Using the symmetric mountain pass theorem, we produce a whole sequence of distinct bounded solutions which diverge to infinity.
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