Existence and uniqueness of asymptotic energy solutions to p-Schrödinger equations with L^1 data and measure-confining potentials are established for p ≥ 2 via a new dimension-independent compactness theorem in asymptotic L^p spaces.
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Total boundedness in asymptotic L_p spaces holds exactly when the set is almost equibounded and all its truncations are totally bounded in L_p.
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An $L^1$-theory for $p$-Schr\"odinger equations with confinement in measure
Existence and uniqueness of asymptotic energy solutions to p-Schrödinger equations with L^1 data and measure-confining potentials are established for p ≥ 2 via a new dimension-independent compactness theorem in asymptotic L^p spaces.
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A truncation criterion for compactness in asymptotic $L_p$ spaces
Total boundedness in asymptotic L_p spaces holds exactly when the set is almost equibounded and all its truncations are totally bounded in L_p.