Existence theorems for boundary value problems for strongly nonlinear elliptic systems

DOI10.4171/ZAA/900zbMath0931.35053OpenAlexW2005050864MaRDI QIDQ1806181

Hong Thai Nguyen

Publication date: 20 February 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48331

zbMATH Keywords

pseudomonotone operatorsSobolev-Orlicz spacesgeneralized monotone operatorscomplementary systemsexact embedding theoremssolution in the \(L_\infty\)-weakened sense

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear boundary value problems for linear elliptic equations (35J65) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10)

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