Resonant singular problems with unbalanced growth

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Öztürk E., Papageorgiou N. S.

Zeitschrift für Analysis und ihre Anwendungen, cilt.2026, sa.1, ss.1-22, 2026 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2026 Sayı: 1
• Basım Tarihi: 2026
• Doi Numarası: 10.4171/zaa/1811
• Dergi Adı: Zeitschrift für Analysis und ihre Anwendungen
• Sayfa Sayıları: ss.1-22
• Hacettepe Üniversitesi Adresli: Evet

Özet

We consider a Dirichlet problem driven by a differential operator with unbalanced growth and a reaction exhibiting the combined effects of a parametric singular term and a resonant perturbation. Using a combination of variational tools and critical groups, we show that, for all small values of the parameter, the problem has at least two bounded positive solutions.