Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth

DOI10.3934/dcds.2001.7.703zbMath1021.35030OpenAlexW2010652000MaRDI QIDQ5951618

Michele Matzeu, Paola Magrone, Massimo Grossi

Publication date: 20 October 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3c9b490e20daa3e5b5c9fa0b7afcd422b556897a

zbMATH Keywords

critical exponentlinking type solutionspotential changing sign

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Quasilinear equations involving indefinite nonlinearities and exponential critical growth in \(\mathbb{R}^N\) ⋮ Existence of solutions for an elliptic equation with indefinite weight ⋮ Nontrivial solutions for Neumann problems with an indefinite linear part ⋮ A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems ⋮ Morse theory for indefinite nonlinear elliptic problems ⋮ Infinitely many solutions for a semilinear elliptic equation with sign-changing potential

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