Publications (45)
Mixed local and nonlocal Dirichlet $(p,q)$-eigenvalue problem
Prashanta Garain, Alexander Ukhlov
On an anisotropic double phase problem with singular and sign changing nonlinearity
Prashanta Garain, Tuhina Mukherjee
Pohozaev-type identities for classes of quasilinear elliptic local and nonlocal equations and systems, with applications
Gurdev Chand Anthal, Prashanta Garain
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
Prashanta Garain, Juha Kinnunen
Gradient higher integrability of bounded solutions to parabolic double-phase systems
Iwona Chlebicka, Prashanta Garain, Wontae Kim
On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups
Prashanta Garain, Alexander Ukhlov
Mixed local-nonlocal $p$-Laplace equation with variable singular nonlinearity in the Heisenberg group
Prashanta Garain
On the Neumann $(p,q)$-eigenvalue problem in Hölder singular domains
Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov
Singular subelliptic equations and Sobolev inequalities on nilpotent Lie groups
Prashanta Garain, Alexander Ukhlov
Properties of solutions to some weighted $p$-Laplacian equation
Prashanta Garain
Estimates of variational eigenvalues on metric measure spaces
Prashanta Garain, Alexander Ukhlov
On mixed local-nonlocal Sobolev-type inequalities and their connection with singular equations in the Heisenberg group
Prashanta Garain
Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations
Prashanta Garain
Multiplicity results for a quasilinear equation with singular nonlinearity
Kaushik Bal, Prashanta Garain
On the weighted Steklov eigenvalue problems in outward cuspidal domains
Prashanta Garain, Vladimir Gol'dshtein, Alexander Ukhlov
Multiple solutions for a class of quasilinear problems with double criticality
Karima Ait-Mahiout, Claudianor O. Alves, Prashanta Garain
Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic $p$-Laplace equations
Agnid Banerjee, Prashanta Garain, Juha Kinnunen
On the regularity theory for mixed local and nonlocal weighted quasilinear elliptic equations
Sanjit Biswas, Prashanta Garain
Regularity and existence for semilinear mixed local-nonlocal equations with variable singularities and measure data
Sanjit Biswas, Prashanta Garain
Symmetry, existence and regularity results for a class of mixed local-nonlocal semilinear singular elliptic problem via variational characterization
Gurdev Chand Anthal, Prashanta Garain
On the regularity theory for mixed anisotropic and nonlocal $p$-Laplace equations and its applications to singular problems
Prashanta Garain, Wontae Kim, Juha Kinnunen
Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
Prashanta Garain, Erik Lindgren
Nonlocal singular problem and associated Sobolev type inequality with extremal in the Heisenberg group
Prashanta Garain
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems
Prashanta Garain, Alexander Ukhlov
Two alternative proofs of weak Harnack inequality for mixed local and nonlocal $p$-Laplace equations with a nonhomogeneity
Prashanta Garain
On an anisotropic p-Laplace equation with variable singular exponent
Kaushik Bal, Prashanta Garain, Tuhina Mukherjee
Higher Hölder regularity for fractional $(p,q)$-Laplace equations
Prashanta Garain, Erik Lindgren
Some local properties of subsolutons and supersolutions for a doubly nonlinear nonlocal parabolic $p$-Laplace equation
Agnid Banerjee, Prashanta Garain, Juha Kinnunen
Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces
Prashanta Garain, Juha Kinnunen
Ground state solutions of mixed local-nonlolcal equations with Hartree type nonlinearities
Gurdev Chand Anthal, Prashanta Garain, Nidhi Nidhi
Non-existence results for the weighted $p$-Laplace equation with singular nonlinearities
Kaushik Bal, Prashanta Garain
On a degenerate singular elliptic problem
Prashanta Garain
Existence Theory for a class of semilinear mixed local and nonlocal equations involving variable singularities and singular measures
Sanjit Biswas, Prashanta Garain
Weak Harnack inequality for a mixed local and nonlocal parabolic equation
Prashanta Garain, Juha Kinnunen
On a class of weighted anisotropic $p$-Laplace equation with singular nonlinearity
Prashanta Garain
Non-existence of stable solutions for weighted $p$-Laplace equation
Kaushik Bal, Prashanta Garain
On $(p,q)$-eigenvalues of the weighted $p$-Laplace operator in outward Hölder cuspidal domains
Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov
Higher Hölder regularity for the fractional $p$-Laplace equation in the subquadratic case
Prashanta Garain, Erik Lindgren
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients
Prashanta Garain, Kaj Nyström
On the regularity theory for mixed local and nonlocal quasilinear parabolic equations
Prashanta Garain, Juha Kinnunen
On a class of mixed local and nonlocal semilinear elliptic equation with singular nonlinearity
Prashanta Garain
On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem
Prashanta Garain
Weighted anisotropic Sobolev inequality with extremal and associated singular problems
Kaushik Bal, Prashanta Garain
Higher Hölder regularity for a subquadratic nonlocal parabolic equation
Prashanta Garain, Erik Lindgren, Alireza Tavakoli
Existence and Nonexistence results for anisotropic p-Laplace equation with singular nonlinearities
Prashanta Garain