Mathematics · Partial Differential Equations
मान लीजिए B मूल बिंदु पर केंद्रित &mathbb;R;3 में इकाई गोला (unit ball) है। फलनक I(u) = 12 ∫B |∇u|2 dx - 15 ∫B |u|5 dx के संगत यूलर-लैग्रेंज समीकरण है:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Δu = u 4
- 2Δu = -u 4
- 3det(D 2 u) = u 4
- 4Δu = -|u| 3 u✓
सही उत्तर देखें
Δu = -|u| 3 u
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