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Anti-periodic solutions for nonlinear evolution inclusions

medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. [16] Nikolaos S. Papageorgiou

Asymmetric (p, 2)-equations with double resonance

We consider a nonlinear Dirichlet elliptic problem driven by the sum of a p-Laplacian and a Laplacian [a (p, 2)-equation] and with a reaction term, which is superlinear in the positive direction (without satisfying the Ambrosetti–Rabinowitz condition) and sublinear resonant in the negative direction. Resonance can also occur asymptotically at zero. So, we have a double resonance...

Positive Solutions for the Neumann p-Laplacian with Superdiffusive Reaction

We consider a generalized logistic equation driven by the Neumann p-Laplacian and with a reaction that exhibits a superdiffusive kind of behavior. Using variational methods based on the critical point theory, together with truncation and comparison techniques, we show that there exists a critical value \(\lambda _*>0\) of the parameter, such that if \(\lambda >\lambda _*\), the...

Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction

concatenate , 0, + and produce (see Eqs. 3.21, 3.24 and 3.25), so , such that So, we can now state the second multiplicity theorem for problem (1.1). Leszek Gasi nski and Nikolaos S. Papageorgiou Theorem

Existence and uniqueness of positive solutions for the Neumann p-Laplacian

Leszek Gasin ski 0 Nikolaos S. Papageorgiou 0 0 N. S. Papageorgiou Department of Mathematics, National Technical University , Zografou Campus, 15780 Athens, Greece We consider a nonlinear Neumann

Multiplicity of positive solutions for eigenvalue problems of ( p , 2 ) -equations

Abstract We consider a nonlinear parametric equation driven by the sum of a p-Laplacian (p > 2 ) and a Laplacian (a (p,2)-equation) with a Carathéodory reaction, which is strictly ( p − 2 ) -sublinear near +∞. Using variational methods coupled with truncation and comparison techniques, we prove a bifurcation-type theorem for the nonlinear eigenvalue problem. So, we show that...

Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential

Leszek Gasin ski 0 Nikolaos S. Papageorgiou 0 0 N. S. Papageorgiou Department of Mathematics, National Technical University , Zografou Campus, Athens 15780, Greece We consider a nonlinear elliptic

Neumann problems resonant at zero and infinity

Leszek Gasin ski 0 Nikolaos S. Papageorgiou 0 0 N. S. Papageorgiou Department of Mathematics, National Technical University , Zografou Campus, 15780 Athens, Greece We consider a semilinear Neumann

On p-superlinear equations with a nonhomogeneous differential operator

We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator and with a (p−1)-superlinear Carathéodory reaction. Our formulation incorporates as a special case equations monitored by the p-Laplacian. Using variational methods coupled with truncation techniques and comparison principles, we show that the problem has at least five nontrivial smooth...

Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities

Leszek Gasinski 0 Nikolaos S. Papageorgiou 0 pu = div 0 0 Communicated by Rafael D. Benguria. Received: June 25, 2010. Accepted: July 4, 2011 We consider nonlinear elliptic Dirichlet problems with a

A pair of positive solutions for the Dirichlet p(z)-Laplacian with concave and convex nonlinearities

Leszek Gasin ski 0 Nikolaos S. Papageorgiou 0 0 N. S. Papageorgiou Department of Mathematics, National Technical University , Zografou Campus, 15780, Athens, Greece We consider a nonlinear

Anisotropic nonlinear Neumann problems

Leszek Gasin ski 0 Nikolaos S. Papageorgiou 0 0 N. S. Papageorgiou Department of Mathematics, National Technical University , Zografou Campus, 15780 Athens, Greece We consider nonlinear Neumann

Periodic problems with double resonance

−1 ≥ 0, a contradiction again. Therefore, there is a critical point y of ϕ such that y ∈/ {0, u0, v0, u, v, y0}. Then y ∈ C1(T ) and solves problem ( 1 ). (85) (86) (87) (88) (89) Nikolaos S ... . Papageorgiou Department of Mathematics National Technical University Zagrafou Campus 15780 Athens Greece e-mail: [1] Aizicovici , S. , Papageorgiou , N.S. , Staicu , V. : Periodic solutions for second order

Multivalued -Lienard systems

Hindawi Publishing Corporation Fixed Point Theory and Applications MICHAEL E. FILIPPAKIS AND NIKOLAOS S. PAPAGEORGIOU 0 Michael E. Filippakis: Department of Mathematics, National Technical