Existence and uniqueness for nonlinear elliptic equations with lower-order terms

DOI10.1016/j.na.2011.09.022zbMath1235.35102OpenAlexW1979117518MaRDI QIDQ651159

Gabriella Zecca

Publication date: 8 December 2011

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.2011.09.022

zbMATH Keywords

Dirichlet probleminfinite energy solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (13)

Noncoercive quasilinear elliptic operators with singular lower order terms ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Noncoercive elliptic equations with discontinuous coefficients in unbounded domains ⋮ Very weak solutions to elliptic equations with singular convection term ⋮ Existence result for solutions to some noncoercive elliptic equations ⋮ Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift ⋮ Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coefficients in \textit{BMO} ⋮ Existence and uniqueness for nonlinear elliptic equations with unbounded coefficients ⋮ An optimal control problem for some nonlinear elliptic equations with unbounded coefficients ⋮ Noncoercive nonlinear Dirichlet problems in unbounded domains ⋮ An obstacle problem for noncoercive operators ⋮ On Weak Solutions of Elliptic Equations with Singular Drifts ⋮ Addendum to the Chicco theorem

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