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math.AP2025
Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential
Shammi Malhotra, Sarika Goyal, K. Sreenadh
We investigate the existence and multiplicity of positive solutions to the following problem driven by the superposition of the Laplacian and the fractional Laplacian with Hardy po…
math.AP2025
-biharmonic Kirchhoff equations with critical Choquard nonlinearity
Divya Goel, Sarika Goyal, Diksha Saini
In this article, we deal with the following involving -biharmonic critical Choquard-Kirchhoff equation $$ \left(a+b\left(\int_{\mathbb R^N}|Δu|^p dx\right)^{θ-1}\right) Δ_{p}^{2…
math.AP2025
On the eigenvalues and Fuč\'ık spectrum of -Laplace local and nonlocal operator with mixed interpolated Hardy term
Shammi Malhotra, Sarika Goyal, K. Sreenadh
In this article, we are concerned with the eigenvalue problem driven by the mixed local and nonlocal -Laplacian operator having the interpolated Hardy term \begin{equation*} \ma…