Existence of nontrivial positive bounded solutions is established for supercritical Schrödinger equations involving general integro-differential operators and vanishing potentials via variational penalization and comparison principles.
Yafaev, Sharp constants in the Hardy-Rellich inequalities,J
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Supercritical Schr\"odinger equations involving integro-differential operators and vanishing potentials
Existence of nontrivial positive bounded solutions is established for supercritical Schrödinger equations involving general integro-differential operators and vanishing potentials via variational penalization and comparison principles.