Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources
From MaRDI portal
Publication:2208757
DOI10.1016/j.nonrwa.2020.103155zbMath1454.35201OpenAlexW3031182877MaRDI QIDQ2208757
Quach Van Chuong, Le Xuan Truong, Le Cong Nhan
Publication date: 4 November 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103155
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Existence of weak solutions for a $p(x)$-Laplacian equation via topological degree, Singular solutions in a \(p(x)\)-Laplace equation with multi-sources, Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources, Singular solutions for the fourth‐order parabolic equation with nonstandard growth conditions and absorption, Global well-posedness of solutions to a class of double phase parabolic equation with variable exponents, Global existence and finite-time blowup for a mixed pseudo-parabolic \(r(x)\)-Laplacian equation, Classification of singular solutions in a nonlinear fourth-order parabolic equation, On the solvability of variable exponent differential inclusion systems with multivalued convection term, Existence and nonexistence of solutions of thin-film equations with variable exponent spaces, Energy classification in a nonstandard fourth‐order parabolic equation with a Navier boundary condition, Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source, On a degenerate parabolic equation with Newtonian fluid\(\sim\)non-Newtonian fluid mixed type, Classification of blow-up and global existence of solutions to an initial Neumann problem, Asymptotic estimates of weak solutions for a parabolic \(p(x)\)-Laplace equation with variable exponents and absorption
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior of solutions to a class of parabolic equations with nonstandard growth condition
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- Extinction of solutions of parabolic equations with variable anisotropic nonlinearities
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- Blow-up for parabolic and hyperbolic problems with variable exponents
- Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
- Saddle points and instability of nonlinear hyperbolic equations
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Regularity results for stationary electro-rheological fluids
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Upper bound estimate for the blow-up time of an evolution \(m\)-Laplace equation involving variable source and positive initial energy
- The blow-up of solutions for \(m\)-Laplacian equations with variable sources under positive initial energy
- Anisotropic parabolic equations with variable nonlinearity
- Singular phenomena of solutions for nonlinear diffusion equations involving \(p(x)\)-Laplace operator and nonlinear sources
- Existence of local strong solutions for motions of electrorheological fluids in three dimensions
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Stability of nonlinear hyperbolic equations
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Blow-up in a semilinear parabolic problem with variable source under positive initial energy
- Sobolev embeddings with variable exponent
- Variable Exponent, Linear Growth Functionals in Image Restoration
- On the growth of solutions of quasi‐linear parabolic equations
- Regularity results for a class of functionals with non-standard growth
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)