Logic Masters Deutschland e.V.

1) Standard Sudoku rules apply:
Place the digits 1-9 into each cell of the grid. None of the rows, columns or boldly outlined 3x3 boxes contain repeated digits.

2) Gravity Sudoku rules apply:
The number at the corner of a cage is the sum of the digits that are at most x orthogonal moves away from the cell with the cage - including the digit in the cage - where x is the digit in the cage. (The gravitational effect zone of a cage (the digits it sums) depends on its mass. (the digit in it))
Some clues in this puzzle have inequality signs. This tells that the sum is strictly greater than or less than the given sum.

An example that explains the rule can be found below.

Example: (related to the image above)

Let's say that the green cell contains the digit x and the cage in the green cell gives the sum y.

If x=1, y=Green+Red
If x=2, y=Green+Red+Blue
If x=3, y=Green+Red+Blue+Yellow
If x=4, y=Green+Red+Blue+Yellow+Grey
...

This is the puzzle:

You can try the puzzle here. As usual, all comments and ratings are always welcome.

I am not a native German speaker, I just use the translations of Google Translate. Therefore, corrections on the German text are highly appreciated.