Existence and multiplicity of nonnegative solutions for semilinear elliptic problems involving nonlinearities indefinite in sign

DOI10.1016/j.na.2012.06.025zbMath1250.35075OpenAlexW2042112408MaRDI QIDQ448517

Giovanni Anello

Publication date: 6 September 2012

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.2012.06.025

zbMATH Keywords

asymptotic behaviorvariational methodsnonnegative solutionselliptic boundary value problemsindefinite nonlinearities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (7)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities ⋮ Infinite solutions for a class of Brézis-Nirenberg equations with an indefinite linear and nonlinear terms in sign ⋮ Unnamed Item ⋮ Positive solutions to a Kirchhoff problem with sign-changing and non-Lipschitz nonlinearities

Cites Work

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• Multiplicity and asymptotic behavior of nonnegative solutions for elliptic problems involving nonlinearities indefinite in sign
• Multiple nonnegative solutions for an elliptic boundary value problem involving combined nonlinearities
• Branches of positive and free boundary solutions for some singular quasilinear elliptic problems
• A mountain pass theorem
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Hopf boundary maximum principle violation for semilinear elliptic equations
• Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem
• Positive solutions for singular nonlinear elliptic equations

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