A singular elliptic problem involving fractional p-Laplacian and a discontinuous critical nonlinearity

DOI10.1063/5.0037375zbMath1472.35172arXiv2103.07716OpenAlexW3137390994MaRDI QIDQ5009716

Debajyoti Choudhuri, Kamel Saoudi, Akasmika Panda

Publication date: 5 August 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07716

zbMATH Keywords

existenceDirichlet conditionnonlinear nonlocal elliptic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (7)

Singular elliptic problem involving a fractional \(p\)-Laplacian with discontinuous nonlinearity ⋮ Existence of solution for a class of integro-differential sublinear problems with strong singularity ⋮ Critical fractional \(p\)-Laplacian system with negative exponents ⋮ Existence of positive solutions for a class of elliptic problems with fast increasing weights and critical exponent discontinuous nonlinearity ⋮ Existence and multiple of solutions for a class integro-differential equations with singular term via variational and Galerkin methods ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents ⋮ Existence of solution for a singular elliptic system with convection terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal problems at nearly critical growth
• The second eigenvalue of the fractional \(p\)-Laplacian
• Global bifurcation and local multiplicity results for elliptic equations with singular nonlinearity of super exponential growth in \(\mathbb R^2\)
• Nonlocal problems with singular nonlinearity
• Solutions for a Kirchhoff equation with critical Caffarelli-Kohn-Nirenberg growth and discontinuous nonlinearity
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Multiplicity results for a singular and quasilinear equation
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Mountain pass theorems for non-differentiable functions and applications
• Some discontinuous problems with a quasilinear operator
• A critical fractional \(p\)-Kirchhoff type problem involving discontinuous nonlinearity
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• Minimax theorems
• Variational methods for non-local operators of elliptic type
• Positive solutions of fractional elliptic equation with critical and singular nonlinearity
• Existence and behavior of the solutions for an elliptic equation with a nonlocal operator involving critical and discontinuous nonlinearity
• On Dirichlet problem for fractional \(p\)-Laplacian with singular non-linearity
• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
• Critical growth fractional elliptic problem with singular nonlinearities
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
• The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
• Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
• Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity
• Fractional p-eigenvalues
• An introduction to minimax theorems and their applications to differential equations
• A variational approach to discontinuous problems with critical Sobolev exponents

This page was built for publication: A singular elliptic problem involving fractional p-Laplacian and a discontinuous critical nonlinearity