On the critical behavior for a Sobolev-type inequality with Hardy potential
DOI10.5802/crmath.534OpenAlexW4391475074MaRDI QIDQ6195156
Publication date: 13 March 2024
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/crmath.534
Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)
Cites Work
- Unnamed Item
- Blow-up for one Sobolev problem: theoretical approach and numerical analysis
- Blowup of solutions to initial value problems for nonlinear operator-differential equations
- Some remarks on quasilinear parabolic problems with singular potential and a reaction term
- Time-discretization schema for an integrodifferential Sobolev type equation with integral conditions
- Large-time asymptotics of the solution of the Cauchy problem for a Sobolev-type equation with a cubic nonlinearity
- Strong regularizing effect of a gradient term in the heat equation with the Hardy potential
- Application of the nonlinear capacity method to differential inequalities of Sobolev type
- A semilinear Sobolev evolution equation in a Banach space
- Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures
- Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential
- A mapping of a point spectrum and the uniqueness of a solution to the inverse problem for a Sobolev-type equation
- On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain
- Instantaneous blow-up for nonlinear Sobolev type equations with potentials on Riemannian manifolds
- Numerical analysis of initial-boundary value problem for a Sobolev-type equation with a fractional-order time derivative
- Blow-up of solutions of the nonlinear Sobolev equation
- On the initial boundary-value problem for a nonlinear Sobolev-type equation with variable coefficient
- Blow-up of the solution of an inhomogeneous system of Sobolev-type equations
- Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential
- Linear Sobolev type equations and degenerate semigroups of operators
- Numerical Investigation of One Sobolev Type Mathematical Model
- Blow-up in Nonlinear Sobolev Type Equations
- On the Cauchy problem for a Sobolev-type equation with quadratic non-linearity
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Influence of the Hardy potential in a semilinear heat equation
- Some results for semilinear elliptic equations with critical potential
- An inverse problem for linear Sobolev type equations
- Instantaneous blow‐up for a fractional in time equation of Sobolev type
- A nonautonomous epidemic model with general incidence and isolation
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