Proves relative compactness in the energy space for bounded sequences solving subcritical mixed local-nonlocal problems with exponents approaching 2*, under specific ranges of N and p, yielding infinitely many sign-changing solutions to the critical equation.
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Existence of positive solutions is shown for mixed-operator Choquard problems in annular domains with sufficiently small holes via variational and topological methods.
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Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications
Proves relative compactness in the energy space for bounded sequences solving subcritical mixed local-nonlocal problems with exponents approaching 2*, under specific ranges of N and p, yielding infinitely many sign-changing solutions to the critical equation.
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On Coron problems with Choquard term and mixed operator
Existence of positive solutions is shown for mixed-operator Choquard problems in annular domains with sufficiently small holes via variational and topological methods.