New theorems prove uniqueness of solutions to geometric PDEs.
problem Proving uniqueness of solutions to geometric PDEs.
method Analyzing nonlinear elliptic PDEs of divergence form.
result Proved several Moser-Bernstein type theorems.
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3 results for “Moser-Bernstein”
Researchers solve a Riemannian geometry problem using warped products.
problem Solving a Moser-Bernstein problem in warped Riemannian manifolds.
method Study entire solutions to the minimal hypersurface equation in warped products.
result Solves the Moser-Bernstein problem in a broader class of Riemannian manifolds.
The paper proves conditions under which solutions to certain PDEs in Lie groups are constant.
problem Conditions for constant solutions to geometric PDEs in Lie groups.
method Analyzes left-invariant PDEs in Lie groups with specific decay conditions on gradients.
result If a solution to a geometric PDE in a Lie group satisfies a gradient decay condition, the solution is constant.