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Infinitely many solutions for polyharmonic elliptic problems with broken symmetries
Author(s) -
Lancelotti Sergio,
Musesti Alessandro,
Squassina Marco
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310043
Subject(s) - mathematics , homogeneous space , polyharmonic spline , perturbation (astronomy) , homogeneous , dirichlet problem , dirichlet boundary condition , boundary value problem , mathematical analysis , dirichlet distribution , order (exchange) , pure mathematics , extension (predicate logic) , geometry , combinatorics , physics , quantum mechanics , computer science , programming language , nearest neighbor interpolation , finance , linear interpolation , polynomial , economics
By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with non–homogeneous Dirichlet boundary conditions. An extension to the higher order case of the estimate from below for the critical values due to K. Tanaka is obtained.