5 papers
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…
Multiplicity results for mixed local-nonlocal variable exponent problem involving singular and superlinear term
Shammi Malhotra, Ambesh Kumar Pandey, K. Sreenadh
In this paper, we study a class of quasilinear elliptic equations involving both local and nonlocal operators with variable exponents. The problem exhibits singular nonlinearities…
Global Compactness Result for a Brézis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator
Souptik Chakraborty, Diksha Gupta, Shammi Malhotra +1
This paper investigates the profile decomposition of Palais-Smale sequences associated with a Brezis-Nirenberg type problem involving a combination of mixed local nonlocal operator…
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…
Quasilinear Schrödinger Equation involving Critical Hardy Potential and Choquard type Exponential nonlinearity
Shammi Malhotra, Sarika Goyal, K. Sreenadh
In this article, we study the following quasilinear Schrödinger equation involving Hardy potential and Choquard type exponential nonlinearity with a parameter \begin{equation*}…