ANISOTROPIC (p;q)-EQUATIONS WITH A LOCALLY DEFINED REACTION.

Autor: AIZICOVICI, SERGIU, PAPAGEORGIOU, NIKOLAOS S., STAICU, VASILE
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Zdroj: Applied Set-Valued Analysis & Optimization; 2024, Vol. 6 Issue 1, p65-80, 16p
Abstrakt: We consider a nonlinear Dirichlet problem driven by the anisotropic (p;q)-Laplacian, and a Carathèodory reaction f (z;x) (z ∈ Ω RN; x ∈ R), which is only locally defined around zero in x ∈ R. We prove a mltiplicity theorem providing sign information for all the solutions, which are also ordered. Also, under a symmetry condition on f (z; ·); we generate a whole sequence of nodal smooth solutions, converging to zero in C¹0 (*#8486;). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index