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A necessary and sufficient condition of nonresonance for a semilinear Neumann problem
We consider the Neumann problem <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartLayout Enlarged left-brace 1st Row minus normal upper Delta u equals g left-parenthesis u right-parenthesis plus h left-parenthesis x right-parenthesis in normal upper Omega comma 2nd Row partial-differential u slash partial-differential nu equals 0 on b d r y normal …