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Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weightsPublished in Elsevier Ltd
2020
Volume: 196
In this work, we study the higher order Kirchhoff type Choquard equation (KC) involving a critical exponential non-linearity and singular weights. We prove the existence of solution to (KC) using Mountain pass Lemma in light of Moser–Trudinger and singular Adams–Moser inequalities. In the second part of the paper, using the Nehari manifold technique and minimization over its suitable subsets, we prove the existence of at least two solutions to the Kirchhoff type Choquard equation (Pλ,M) involving convex–concave type non-linearity. © 2020 Elsevier Ltd
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About the journal
| Journal | Data powered by TypesetNonlinear Analysis, Theory, Methods and Applications |
|---|---|
| Publisher | Data powered by TypesetElsevier Ltd |
| ISSN | 0362546X |
Authors (1)
Tuhina Mukherjee- Department of Mathematics IIT Jodhpur
- Kirchhoff Equations with Choquard Exponential Type Nonlinearity Involving the Fractional Laplacian
- Adams–Moser–Trudinger inequality in the Cartesian product of Sobolev spaces and its applications
- n-Kirchhoff–Choquard equations with exponential nonlinearity
- Quasilinear nonlocal elliptic problems with varable singular exponent
