output
19922026
most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

Showing 2020 · math.APShow all

12 papers · 2 filters

math.AP2020★ 6 cited

Robin double-phase problems with singular and superlinear terms

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear Robin problem driven by the sum of -Laplacian and -Laplacian (i.e. the -equation). In the reaction there are competing effects of a singular te…

math.AP2020★ 37 cited

Anisotropic equations with indefinite potential and competing nonlinearities

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear Dirichlet problem driven by a variable exponent -Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric conc…

math.AP2020★ 1 cited

Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we…

math.AP2020★ 70 cited

Existence and multiplicity of solutions for double-phase Robin problems

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a double phase Robin problem with a Carathéodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an…

math.AP2020★ 5 cited

Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. U…

math.AP2020★ 7 cited

Relaxation methods for optimal control problems

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map . We…

math.AP2020★ 4 cited

Nonlinear singular problems with indefinite potential term

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular…

math.AP2020★ 1 cited

The direct electromagnetic scattering problem by a piecewise constant inhomogeneous cylinder at oblique incidence

Drossos Gintides, Sotiris Giogiakas, Leonidas Mindrinos

We consider the solvability of the direct scattering problem of an obliquely incident time-harmonic electromagnetic wave by a piecewise constant inhomogeneous, penetrable and infin…

math.AP2020★ 52 cited

Ground state and nodal solutions for a class of double phase problems

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a double phase problem driven by the sum of the -Laplace operator and a weighted -Laplacian (), with a weight function which is not bounded away from zero. T…

math.AP2020★ 81 cited

Nonlinear nonhomogeneous singular problems

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order near and with a reaction which has the competing…

math.AP2020★ 3 cited

Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction

N. S. Papageorgiou, D. D. Repovš, C. Vetro

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, $…

math.AP2020★ 65 cited

Positive solutions for nonlinear Neumann problems with singular terms and convection

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a nonlinear Neumann problem driven by the -Laplacian. In the reaction term we have the competing effects of a singular and a convection term. Using a topological app…