TY  - JOUR
ID  - DaSilva2025
LB  - DaSilva2025
AU  - Da Silva, João Pablo Pinheiro
AU  - Failla, Giuseppe
AU  - Gasiński, Leszek
AU  - Papageorgiou, Nikolaos S.
TI  - Anisotropic singular logistic equations
ST  - Anisotropic singular logistic equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2025
VL  - 45
IS  - 6
SP  - 765
EP  - 783
DO  - https://doi.org/10.7494/OpMath.2025.45.6.765
UR  - https://doi.org/10.7494/OpMath.2025.45.6.765
AB  - We consider a parametric Dirichlet problem driven by the anisotropic \((p,q)\)-Laplacian and a reaction with a singular term and a superdiffusive logistic perturbation. We prove an existence and nonexistence theorem which is global with respect to the parameter \(\lambda\gt 0\).
KW  - anisotropic \((p,q)\)-Laplacian
KW  - superdiffusive perturbation
KW  - anisotropic regularity
KW  - Hardy's inequality
KW  - strong comparison
SN  - 1232-9274
ER  -