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Special Variational Methods

I. Kuzin,Stanislav I. Pohožaev-1997-01-01-Birkhäuser Basel eBooks
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TL;DRAbstract

We saw in §12 that noncoercive problems 13.1 $$ - \Delta u + f({\text{x}},u) = 0\quad {\text{on}}\;{{\mathbb{R}}^{N}},u \to 0\quad \;{\text{as}}\;\left| {\text{x}} \right| \to \infty , $$ can be studied with the help of theorems on a conditional minimum if f is homogeneous. However such f are rare.

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We saw in §12 that noncoercive problems 13.1 $$ - \Delta u + f({\text{x}},u) = 0\quad {\text{on}}\;{{\mathbb{R}}^{N}},u \to 0\quad \;{\text{as}}\;\left| {\text{x}} \right| \to \infty , $$ can be studied with the help of theorems on a conditional minimum if f is homogeneous. However such f are rare.

Keywords

HomogeneousCombinatoricsMathematicsPhysicsCalculus (dental)MedicineOrthodontics

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