The Nehari manifold for a degenerate elliptic equation involving a sign-changing weight function

DOI10.1016/j.na.2011.09.012zbMath1235.35140OpenAlexW2041763224MaRDI QIDQ651151

Chao Ji

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.012

zbMATH Keywords

degenerate elliptic equationNehari manifoldsign-changing weight functionfibering map

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Multiplicity results involving \(p\)-biharmonic Kirchhoff-type problems ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ On the existence and multiplicity of solutions for a class of singular elliptic problems ⋮ Multiple solutions for a coupled Kirchhoff system with fractionalp-Laplacian and sign-changing weight functions ⋮ The Nehari manifold for fractionalp-Laplacian system involving concave–convex nonlinearities and sign-changing weight functions ⋮ Multiple critical points of a functional in product spaces with applications to elliptic systems

Cites Work

• Unnamed Item
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• Multiple solutions for a degenerate elliptic equation involving sublinear terms at infinity
• Some remarks on a three critical points theorem
• On a three critical points theorem
• On the variational principle
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
• Existence of three solutions for a class of elliptic eigenvalue problems

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