A Free Boundary Problem for quasilinear Systems with mixed variable exponent
Somayeh Khademloo
Abstract
In the unit ball, we study a semilinear system that gives rise to a free boundary of Alt-Phillips type, where the equation is governed by a mixed variable-exponent operator of (p,q)-Laplacian type. Under certain structural conditions, we establish the existence of nonnegative radial solutions that are C1, with their norms depending on the structural data.
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