On the elliptic equation π·α΅’[πα΅’β±Ό(π₯)π·β±Όπ]-π(π₯)π+πΎ(π₯)π^{π}=0
On the elliptic equation π·α΅’[πα΅’β±Ό(π₯)π·β±Όπ]-π(π₯)π+πΎ(π₯)π^{π}=0
The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper D Subscript i Baseline left-bracket a Subscript i j Baseline left-parenthesis x right-parenthesis upper D Subscript j Baseline upper U right-bracket minus k left-parenthesis x right-parenthesis upper U β¦