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T1 - Singular radial solutions for the Lin-Ni-Takagi equation
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UR - http://hdl.handle.net/10138/321645
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A1 - Casteras, Jean-Baptiste; FĂ¶ldes, Juraj
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Y1 - 2020
LA - eng
AB - We study singular radially symmetric solution to the Lin-Ni-Takagi equation for a supercritical power non-linearity in dimension N >= 3. It is shown that for any ball and any k >= 0, there is a singular solution that satisfies Neumann boundary condition and oscillates at leastktimes around the constant equilibrium. Moreover, we show that the Morse index of the singular solution is finite or infinite if the exponent is respectively larger or smaller than the Joseph-Lundgren exponent....
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KW - ELLIPTIC NEUMANN PROBLEM; LEAST-ENERGY SOLUTIONS; POSITIVE SOLUTIONS; INTERIOR; NONLINEARITY; SEGMENTS; SPIKES; 111 Mathematics
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