Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in \(\mathbb{R}^N\)
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Publication:1640820
DOI10.1016/j.nonrwa.2018.01.003OpenAlexW2791767330MaRDI QIDQ1640820
Publication date: 14 June 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.01.003
Related Items (3)
The Hardy inequality and large time behaviour of the heat equation on \(\mathbb{R}^{N - k} \times ( 0 , \infty )^k\) ⋮ The asymptotic behavior for anisotropic parabolic p‐Laplacian equations ⋮ The global existence and attractor for \(p\)-Laplace equations in unbounded domains
Cites Work
- Unnamed Item
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- Degenerate parabolic equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Hardy inequalities and some critical elliptic and parabolic problems
- On attractors of multivalued semi-flows and differential inclusions
- Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
- Evolution equations and their trajectory attractors
- Mathematical problems from combustion theory
- A finite-dimensional attractor for three-dimensional flow of incompressible fluids
- Global attractors for the three-dimensional Navier-Stokes equations
- Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
- Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains
- Global attractors for multivalued semiflows with weak continuity properties
- The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
- The Heat Equation with a Singular Potential
- MAXIMAL ATTRACTORS OF SEMIGROUPS CORRESPONDING TO EVOLUTION DIFFERENTIAL EQUATIONS
- Attractor for a Navier-Stokes flow in an unbounded domain
- Domain of existence and blowup for the exponential reaction-diffusion equation
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- The attractor for a nonlinear reaction-diffusion system in an unbounded domain
- Attractors of partial differential evolution equations in an unbounded domain
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