Results 1 to 10 of about 2,153,662 (184)
Multiple solutions for semilinear Robin problems with superlinear reaction and no symmetries [PDF]
Electronic Journal of Differential Equations, 2021 We study a semilinear Robin problem driven by the Laplacian with a parametric superlinear reaction. Using variational tools from the critical point theory with truncation and comparison techniques, critical groups and flow invariance arguments, we show ...
Nikolaos S. Papageorgiou +2 more
doaj +10 more sources
Positive solutions for $(p,2)$-equations with superlinear reaction and a concave boundary term [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear boundary value problem driven by the $(p,2)$-Laplacian, with a $(p-1)$-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem).
Nikolaos Papageorgiou, Andrea Scapellato
doaj +8 more sources
A multiplicity theorem for parametric superlinear (p,q)-equations [PDF]
Opuscula Mathematica, 2020 We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition.
Florin-Iulian Onete +2 more
doaj +5 more sources
Plasmon-driven chemical transformation of a secondary amide probed by surface enhanced Raman scattering [PDF]
Communications ChemistryPlasmon-driven chemical conversion is gaining burgeoning interest in the field of heterogeneous catalysis. Herein, we study the reactivity of N-methyl-4-sulfanylbenzamide (NMSB) at nanocavities of gold and silver nanoparticle aggregates under plasmonic ...
Anushree Dutta +6 more
doaj +3 more sources
Multiple positive solutions for singular anisotropic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
doaj +1 more source
Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
doaj +1 more source
Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 2020 We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
doaj +1 more source
Parametric singular double phase Dirichlet problems
Advances in Nonlinear Analysis, 2023 We consider a parametric (with two parameters μ,λ>0\mu ,\lambda \gt 0) Dirichlet problem driven by the double phase differential operator and a reaction which has the competing effect of a singular term and of a superlinear perturbation.
Bai Yunru +2 more
doaj +1 more source
Singular anisotropic equations with a sign-changing perturbation
Nonlinear Analysis, 2023 We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
doaj +1 more source
Double phase equations with an indefinite concave term
Electronic Journal of Differential Equations, 2022 We consider a Dirichlet problem having a double phase differential operator with unbalanced growth and reaction involving the combined effects of a concave (sublinear) and of a convex (superlinear) terms.
Zhenhai Liu, Nikolaos S. Papageorgiou
doaj +1 more source