Existence of nontrivial solutions of \(p\)-Laplacian equation with sign-changing weight functions

DOI10.1155/2014/461965zbMath1290.35069OpenAlexW2017985353WikidataQ59048237 ScholiaQ59048237MaRDI QIDQ2449027

Ghanmi Abdeljabbar

Publication date: 6 May 2014

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/461965

zbMATH Keywords

\(p\)-Laplaciannontrivial solutionssign-changing weight functions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

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• Multiple solutions for \(p\)-Laplacian systems with critical homogeneous nonlinearity
• The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition
• Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents
• Existence of solutions for a class of noncooperative elliptic systems
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
• Minimax theorems
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents