Indiana University Mathematics Journal · 2004 · 82 citations · 6 references
Natural SciencesMathematicsCritical TheoryDynamical SystemsThermodynamicsBoundary ConditionsBoundary-value ProblemsPartial Differential EquationsVariational InequalitiesWeak FormulationElliptic Boundary-value ProblemsElliptic Partial Differential EquationsPoisson EquationPoisson SystemsPoisson's EquationSobolev SpacesVariational Inequality Existence Theorems
ABSTRACT. In this paper we study the existence of nontrivial solutions for the following system of two coupled semilinear Pois-son equations: (S)
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A sharp form of an inequality by N. Trudinger
J. Moser · Indiana University Mathematics Journal · 1971 · 966 citations