M. Ahamed

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math.AP2025

Existence of an Infinite Number of Solutions to a Singular Superlinear p-Laplacian Equation on Exterior Domains

Md Suzan Ahamed, Joseph Iaia

In this paper, we prove the existence of an infinite number of radial solutions of the $p$ - $L a pl a c ian$ equation $I^_{p} u + K (∣ x ∣) f (u) = 0$ on the exterior of the ball of radius $R>0…

math.AP2025

Existence and nonexistence of sign-changing solutions for linearly perturbed superlinear equations on exterior domains

Md Suzan Ahamed, Joseph Iaia

In this paper, we study radial solutions of $I^ u + K (∣ x ∣) f (u) + \frac{( N - 2 ) ^{2} u}{∣ x ∣ ^{2 + (N - 2) I^´}} = 0, 0 < I^´ < 2$ in the exterior of the ball of radius $R > 0$ in $R^{N}$ whe…