Existence and nonexistence of positive solutions for quasilinear elliptic problem

DOI10.1155/2012/275748zbMath1250.35086OpenAlexW2105445877WikidataQ58696223 ScholiaQ58696223MaRDI QIDQ448651

J. Herrera, D. Rodríguez-Gómez

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/275748

zbMATH Keywords

variational methods\(p\)-Laplacianelliptic boundary-value problemsexistence and nonexistence for positive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items

Positive solutions for the \(p(x)-\)Laplacian : application of the Nehari method ⋮ \(N\)-Laplacian equation with a nonlinear Neumann boundary condition and a singular nonlinearity ⋮ Existence and nonexistence of positive solutions of some elliptic problems with variable exponents ⋮ Multiplicity results of a nonlocal problem involving concave-convex nonlinearities ⋮ Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions

Cites Work

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• Combined effects in nonlinear problems arising in the study of anisotropic continuous media
• Non-existence and existence of entire solutions for a quasi-linear problem with singular and super-linear terms
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
• Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
• A strong comparison principle for positive solutions of degenerate elliptic equations

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