SOME UNIQUENESS RESULTS FOR ELLIPTIC EQUATIONS WITHOUT CONDITION AT INFINITY

DOI10.1142/S0219199703001142zbMath1156.35369MaRDI QIDQ4474404

Alessio Porretta

Publication date: 12 July 2004

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic equationsUniquenessno condition at infinity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15)

Related Items (6)

Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity ⋮ Nonlinear parabolic problem with/without an explosive condition on the boundary ⋮ A Stochastic production planning problem ⋮ Uniqueness of solutions for some elliptic equations with a quadratic gradient term ⋮ Symmetric solutions for an elliptic partial differential equation that arises in stochastic production planning with production constraints ⋮ Uniqueness of solutions of some elliptic equations without condition at infinity.

Cites Work

• On the inequality \(\Delta u \geqq f (u)\)
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• On solutions of δu=f(u)
• The equation −Δu+|u|α−1u=f, for0 ⩽ α ⩽ 1

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