p,2)-equations with double resonance

Speaker(s)

Leszek Gasiński

Affiliation

UJ

Date

Nov. 19, 2015, 12:30 p.m.

Room

room 4060

Title in Polish

Asymmetric

Seminar

Seminar of Mathematical Physics Equations Group

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We consider a nonlinear Dirichlet elliptic problem driven by the sum of a p-Laplacian and a Laplacian (a (p,2)-Laplacian) and with a reaction term,
which is superlinear in the positive direction and sublinear resonant in the negative direction. Resonance can also occur asymptotically at zero.
So, we have a double resonance situation. We establish the existence and multiplicity of nontrivial smooth solutions.

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