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Existence of infinitely many solutions for sublinear elliptic problems.

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Publication:1869947
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DOI10.1016/S0022-247X(02)00529-2zbMath1086.35043MaRDI QIDQ1869947

Norimichi Hirano

Publication date: 4 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Homotopy classSemilinear elliptic problemSublinear growth


Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)


Related Items (4)

Unnamed Item ⋮ Symmetric mountain pass lemma and sublinear elliptic equations ⋮ An existence result for multiple solutions to a Dirichlet problem ⋮ Infinitely many solutions of \(p\)-sublinear \(p\)-Laplacian equations




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Combined effects of concave and convex nonlinearities in some elliptic problems
  • Infinite dimensional Morse theory and multiple solution problems
  • A Perturbation Method in Critical Point Theory and Applications
  • On an Elliptic Equation with Concave and Convex Nonlinearities




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