We consider a parametric Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which has singular and critical terms. Using cut-off techniques and variational methods, we show that for all small values of the parameter λ > 0, the problem has a positive solution and this solution converges to 0 in C_0^1(\overline{\Omega}) as λ to 0^+.
Papageorgiou N.S., Vetro C., Vetro F. (2023). Nonhomogeneous Eigenvalue Problems with Singular and Critical Terms. FUNKCIALAJ EKVACIOJ, 66(1), 35-43 [10.1619/fesi.66.35].
Nonhomogeneous Eigenvalue Problems with Singular and Critical Terms
Vetro C.;
2023-01-01
Abstract
We consider a parametric Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which has singular and critical terms. Using cut-off techniques and variational methods, we show that for all small values of the parameter λ > 0, the problem has a positive solution and this solution converges to 0 in C_0^1(\overline{\Omega}) as λ to 0^+.
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