Equivalence of formulations and uniqueness in a \(T\)-set for quasilinear equations with measures as data

DOI10.1016/S0362-546X(00)00128-0zbMath1126.35370MaRDI QIDQ5949350

Jean Michel Rakotoson, Alain Miranville, Alain Piétrus

Publication date: 21 November 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Hodge decompositionUniquenessEquivalence of formulationsMeasures as dataQuasi-linear equationsT-set

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

On grand and small Lebesgue and Sobolev spaces and some applications to PDE's, Some refinements of the Hodge decomposition and applications, Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Nonlinear elliptic and parabolic equations involving measure data
• Singularités éliminables pour des équations semi-linéaires
• Quasilinear problems with singularities
• Quasilinear elliptic problems with measures as data
• Inverting the \(p\)-harmonic operator
• Generalized solutions in a new type of sets for problems with measures as data
• Semi-linear second-order elliptic equations in \(L^1\)
• Local T-sets and renormalized solutions of degenerate quasilinear elliptic equations with an \(L^ 1\)-datum
• \(p\)-harmonic tensors and quasiregular mappings
• Global weak solutions of Vlasov‐Maxwell systems
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Weak minima of variational integrals.
• Properties of solutions of quasilinear equations in a T-set when the datum is a Radon measure
• Une remarque sur l'unicité des solutions pour l'opérateur de Serrin