[BOOK][B] Topological and variational methods with applications to nonlinear boundary value problems

D Motreanu, VV Motreanu, NS Papageorgiou - 2014 - Springer
This monograph presents fundamental methods and topics in nonlinear analysis and their
efficient application to nonlinear boundary value problems for elliptic equations. The book is …

Multiple solutions for nonlinear Neumann problems driven by a nonhomogeneous differential operator

D Motreanu, N Papageorgiou - Proceedings of the American Mathematical …, 2011 - ams.org
We consider a nonlinear Neumann problem driven by a nonhomogeneous quasilinear
degenerate elliptic differential operator $\operatorname {div} a (x,\nabla u) $, a special case …

Applications of local linking to nonlocal Neumann problems

G Molica Bisci, VD Rădulescu - Communications in Contemporary …, 2015 - World Scientific
We study a nonlocal Neumann problem driven by a nonhomogeneous elliptic differential
operator. The reaction term is a nonlinearity function that exhibits p-superlinear growth but …

[PDF][PDF] Multiple constant sign and nodal solutions for nonlinear Neumann eigenvalue problems

D Motreanu, VV Motreanu… - … SUPERIORE-CLASSE DI …, 2011 - 20.103.181.36
We consider a nonlinear Neumann eigenvalue problem driven by a possibly
nonhomogeneous differential operator which incorporates as a special case the p …

Existence of multiple solutions with precise sign information for superlinear Neumann problems

S Aizicovici, NS Papageorgiou, V Staicu - Annali di Matematica Pura ed …, 2009 - Springer
We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator
and having a p-superlinear nonlinearity. Using truncation techniques combined with the …

Existence and multiplicity of solutions for Neumann p-Laplacian-type equations

L Gasiński, NS Papageorgiou - Advanced Nonlinear Studies, 2008 - degruyter.com
We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are
not homogeneous in general. We prove an existence and a multiplicity result for such …

Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities

A Iannizzotto, NS Papageorgiou - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian with a
nonsmooth potential (hemivariational inequality). Using minimax methods based on the …

[PDF][PDF] THE SPECTRUM AND AN INDEX FORMULA FOR THE NEUMANN p− LAPLACIAN AND MULTIPLE SOLUTIONS FOR PROBLEMS WITH A CROSSING …

S Aizicovici, NS Papageorgiou, V STAICU - RN, 2009 - researchgate.net
In this paper we first conduct a study of the spectrum of the negative p-Laplacian with
Neumann boundary conditions. More precisely we investigate the first nonzero eigenvalue …

Nonlinear Neumann problems near resonance

D Motreanu, VV Motreanu, NS Papageorgiou - Indiana University …, 2009 - JSTOR
We study nonlinear parametric Neumann problems driven by the p-Laplacian differential
operator. We examine the existence and multiplicity of solutions and of positive solutions …

Nonlinear Neumann equations driven by a nonhomogeneous differential operator

S Hu, NS Papageorgiou - Communications on Pure and Applied …, 2011 - aimsciences.org
We consider a nonlinear Neumann problem driven by a nonhomogeneous nonlinear
differential operator and with a reaction which is $(p-1) $-superlinear without necessarily …