Rohit Kumar

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20202026

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math.AP2024

Existence of Positive Solutions for Generalized Fractional Brézis-Nirenberg Problem

Rohit Kumar, Abhishek Sarkar

In this article, we study the fractional Brézis-Nirenberg type problem on whole domain $R^{N}$ associated with the fractional $p$ -Laplace operator. To be precise, we want to…

math.AP2024

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings

Nirjan Biswas, Rohit Kumar

In this article, for $N \geq 2, s \in (1, 2), p \in (1, \frac{N}{s}), σ = s - 1$ and $a \in [0, \frac{N - s p}{2})$ , we establish an isometric isomorphism between the higher order fraction…

math.AP2024

On semipositone problems over $R^{N}$ for the fractional $p$ -Laplace operator

Nirjan Biswas, Rohit Kumar

For $N \geq 1, s \in (0, 1)$ , and $p \in (1, \frac{N}{s})$ we find a positive solution to the following class of semipositone problems associated with the fractional $p$ -Laplace oper…

Existence of Positive Solutions for Generalized Fractional Brézis-Nirenberg Problem

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings

On semipositone problems over RN for the fractional p-Laplace operator

On semipositone problems over $R^{N}$ for the fractional $p$ -Laplace operator