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math.AP2026
Uniform -boundedness for solutions of anisotropic quasilinear systems
Natalino Borgia, Silvia Cingolani, Giuseppina Vannella
In this paper we obtain uniformly locally -estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearit…
math.AP2021★ 2 cited
Multiple positive solutions for a p-Laplace Benci-Cerami type problem (1<p<2), via Morse theory
Giuseppina Vannella
Let us consider the quasilinear problem \[ (P_\varepsilon) \ \ \left\{ \begin{array}{ll} - \varepsilon^p Δ_{p}u + u^{p-1} = f(u) & \hbox{in} \ Ω \newline u>0 & \hbox{in} \ Ω \newli…
math.AP2016★ 14 cited
Amann-Zehnder type results for p-Laplace problems
Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella
The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related t…