Proves two distinct L^∞ weak solutions exist for the given variable-exponent nonlocal PDE under stated exponent relations and conditions on f.
Barreiro and J.V.A.Goncalves, Multi plicity of solutions of some quasi- linear equations in RN with variable exponents and concave convex nonlinearities , Top
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Existence and multiplicity of solutions to a nonlocal elliptic PDE with variable exponent in a Nehari manifold using the Banach fixed point theorem
Proves two distinct L^∞ weak solutions exist for the given variable-exponent nonlocal PDE under stated exponent relations and conditions on f.