A priori bounds and existence of positive solutions of an elliptic system of Kirchhoff type in three or four space dimensions
From MaRDI portal
Publication:1615322
DOI10.1007/s11784-018-0600-zzbMath1401.35064OpenAlexW2882571509WikidataQ129532544 ScholiaQ129532544MaRDI QIDQ1615322
Publication date: 30 October 2018
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-018-0600-z
A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)
Related Items
Positive solutions of a nonlocal and nonvariational elliptic problem, Existence of positive solutions to a fractional-Kirchhoff system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
- Study of a nonlinear Kirchhoff equation with non-homogeneous material
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- A priori estimates, existence and non-existence of positive solutions of generalized mean curvature equations
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Stationary Kirchhoff systems in closed 3-dimensional manifolds
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
- Asymptotic behavior of solutions for Hénon systems with nearly critical exponent
- Non-variational elliptic systems in dimension two: a priori bounds and existence of positive solutions
- The proof of the Lane-Emden conjecture in four space dimensions
- A priori estimates and existence of positive solutions of semilinear elliptic equations
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- A priori estimates for solutions to nonlinear elliptic equations
- On a resonant-superlinear elliptic problem
- Elliptic partial differential equations of second order
- Some remarks on the comparison principle in Kirchhoff equations
- A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces
- Existence of positive stationary solutions and threshold results for a reaction-diffusion system
- Existence and uniqueness of positive radial solutions for the Lane-Emden system
- Existence and uniqueness of positive solutions of semilinear elliptic systems
- Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
- A PRIORI BOUNDS FOR POSITIVE SOLUTIONS OF A NON-VARIATIONAL ELLIPTIC SYSTEM
- Stationary Kirchhoff systems in closed high dimensional manifolds
- A priori bounds for positive solutions of nonlinear elliptic equations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On a class of superlinear elliptic problems
- Liouville theorems for elliptic inequalities and applications
- Department of technical mathematics and informatics university of technology
- On the Well-Posedness of the Kirchhoff String
- Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains