On Orlicz capacities and a nonexistence result for certain elliptic PDEs

DOI10.1007/s00030-015-0352-zzbMath1326.31004OpenAlexW1882863597MaRDI QIDQ889865

Flavia Giannetti, Alberto Fiorenza

Publication date: 9 November 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-015-0352-z

zbMATH Keywords

elliptic equationsmeasure dataCantor setsOrlicz capacity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Potentials and capacities on other spaces (31C15)

Related Items (4)

Stability/nonstability properties of renormalized/entropy solutions for degenerate parabolic equations with \(L^1\)/measure data ⋮ A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ Removability of zero modular capacity sets ⋮ Non-stability result of entropy solutions for nonlinear parabolic problems with singular measures

Cites Work

• Quasilinear and Hessian type equations with exponential reaction and measure data
• Singularités éliminables pour des équations semi-linéaires
• Strong stability results for solutions of elliptic equations with power-like lower order terms and measure data
• On the equation \(-\Delta u + e^{u} - 1 = 0\) with measures as boundary data
• Remarks on nonlinear equations with measures
• Fine behavior of functions whose gradients are in an Orlicz space
• Resolution of a semilinear equation in L¹
• Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
• Non-existence of solutions for some nonlinear elliptic equations involving measures
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