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math.AP2021★ 4 cited
The behavior of solutions of a parametric weighted (p,q)-Laplacian equation
Dušan D. Repovš, Calogero Vetro
We study the behavior of solutions for the parametric equation $$-Δ_{p}^{a_1} u(z)-Δ_{q}^{a_2} u(z)=λ|u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } Ω,\, λ>0,$$ under Dirichlet condit…
math.AP2021★ 44 cited
Positive solutions for singular double phase problems
Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro
We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term…