Positive solutions of multiparameter semipositone \(p\)-Laplacian problems

DOI10.1016/J.JMAA.2007.05.085zbMath1135.35340OpenAlexW2077270795MaRDI QIDQ2473986

Ratnasingham Shivaji, Perera, Kanishka

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.085

zbMATH Keywords

variational methodssub- and supersolutionsmultiple positive solutionssemipositonemultiparameter\(p\)-Laplacian problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35)

Related Items (7)

Two numerical algorithms for finding solutions of multiparameter semipositone Dirichlet problems ⋮ A numerical algorithm for finding solution of multiparameter semipositone Dirichlet problems ⋮ Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces ⋮ Existence and multiplicity results for a multiparameter quasilinear Schrödinger equation ⋮ Unnamed Item ⋮ A multiparameter fractional Laplace problem with semipositone nonlinearity ⋮ A remark on the existence and multiplicity result for a nonlinear elliptic problem involving the \(p\)-Laplacian

Cites Work

• Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
• Quasilinear elliptic equations involving critical Sobolev exponents
• Boundary regularity for solutions of degenerate elliptic equations
• Unnamed Item

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