VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
• Nonlinear nonhomogeneous singular problems
Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order $(p-1)$ near $+\infty$ and with a reaction which has the competing effects of a ... parametric singular term and a $(p-1)$-superlinear perturbation which does not satisfy the usual Ambrosetti-Rabinowitz condition. Using variational tools, together with suitable truncation and strong comparison techniques, we prove a "bifurcation-type" theorem that describes the set of positive solutions as the parameter $\lambda$ moves on the positive semiaxis. We also show that for every $\lambda > 0$, the problem has a smallest positive solution $u^\ast_\lambda$ and we demonstrate the monotonicity and continuity properties of the map $\lambda \mapsto u^\ast_\lambda$.
Vir: Calculus of variations and partial differential equations. - ISSN 0944-2669 (Vol. 59, iss. 1, Feb. 2020, art. 9 [31 str.])
Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
Leto - 2020
Jezik - angleški
COBISS.SI-ID - 18823001

vir: Calculus of variations and partial differential equations. - ISSN 0944-2669 (Vol. 59, iss. 1, Feb. 2020, art. 9 [31 str.])