On the existence of weak solutions for a class of elliptic partial differential systems

DOI10.1016/S0362-546X(00)00227-3zbMath1219.35088OpenAlexW2024256046MaRDI QIDQ1348204

Yan Yan, Zengfu Dong, Yongqiang Fu

Publication date: 8 August 2002

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/s0362-546x(00)00227-3

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Boundary value problems for first-order elliptic systems (35J56)

Related Items

Quasilinear elliptic systems with nonstandard growth and weak monotonicity ⋮ Quasilinear elliptic systems with nonstandard growth conditions in Orlicz-Sobolev spaces ⋮ An existence theorem for weak solutions for a class of elliptic partial differential systems in general Orlicz-Sobolev spaces ⋮ An existence theorem for weak solutions for a class of elliptic partial differential systems in Orlicz spaces ⋮ Weak solutions for elliptic systems with variable growth in Clifford analysis

Cites Work

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• A selection lemma for sequences of measurable sets, and lower semicontinuity of multiple integrals
• Nonlinear elliptic boundary-value problems in Orlicz-Sobolev spaces
• Orlicz-Sobolev spaces and imbedding theorems
• An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• Semicontinuity problems in the calculus of variations