Positive solutions exhibit one-dimensional symmetry and monotonicity in x_n when -2s < α < (γ-1)s and are classified by asymptotic s-order slope; no global positive solutions exist for α outside this interval.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes two distinct solutions and L^∞ bounds for a variable-exponent mixed local-nonlocal elliptic problem with singular and superlinear terms via Nehari manifold splitting.
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Classification of solutions to a weighted singular fractional problem in the half space
Positive solutions exhibit one-dimensional symmetry and monotonicity in x_n when -2s < α < (γ-1)s and are classified by asymptotic s-order slope; no global positive solutions exist for α outside this interval.
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Multiplicity results for mixed local-nonlocal variable exponent problem involving singular and superlinear term
Establishes two distinct solutions and L^∞ bounds for a variable-exponent mixed local-nonlocal elliptic problem with singular and superlinear terms via Nehari manifold splitting.