On the Number of Positive Solutions for a Higher Order Elliptic System
From MaRDI portal
Publication:6489795
DOI10.1007/S12346-024-01011-1MaRDI QIDQ6489795
Publication date: 22 April 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of large radial solutions of a polyharmonic equation with superlinear growth
- Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems
- Maximum principles and bounds for a class of fourth order nonlinear elliptic equations
- Existence and stability of entire solutions to a semilinear fourth order elliptic problem
- Existence of solutions to higher order Lane-Emden type systems
- Superlinear problems
- Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
- A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners
- Biharmonic equations with asymptotically linear nonlinearities
- On solutions of second and fourth order elliptic equations with power-type nonlinearities
- Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
- Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
- A priori estimates and existence of positive solutions of semilinear elliptic equations
- Positive solution for a semilinear elliptic equation which is almost linear at infinity
- Remarks on multiple solutions for asymptotically linear elliptic boundary value problems
- Nonnegative solutions of quasilinear elliptic problems with nonnegative coefficients
- Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
- Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator
- Uniqueness and asymptotic behavior of solutions of a biharmonic equation with supercritical exponent
- Positive solutions of superlinear elliptic equations
- A note on a class of higher order conformally covariant equations
- Multiple solutions for a class of \((p_1, \dots, p_n)\)-biharmonic systems
- Uniform bounds for higher-order semilinear problems in conformal dimension
- Existence and regularity of positive solutions of a degenerate fourth order elliptic problem
- Uniqueness results for higher order Lane-Emden systems
- Liouville type theorem for higher order Hénon equations on a half space
- Further study of entire radial solutions of a biharmonic equation with exponential nonlinearity
- A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem
- Existence results and a priori bounds for higher order elliptic equations and systems
- On the number of solutions of nonlinear equations in ordered Banach spaces
- On positive solutions of nonlinear elliptic eigenvalue problems
- Fourth-order elliptic problems involving concave-superlinear nonlinearities
- Existence of three solutions for a class of (p1,\ldots,pn)-biharmonic systems with Navier boundary conditions
- Existence of non-trivial solutions for systems of n fourth order partial differential equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Existence and uniqueness theorems for the bending of an elastic beam equation
- Uniqueness of Radial Solutions of Semilinear Elliptic Equations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Mathematical Models for Elastic Structures
- Existence and uniqueness results for polyharmonic equations
- Solution curves for semilinear equations on a ball
- Multiple positive solutions for a class of (2, p)-Laplacian equation
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- Uniqueness Theorems for Some Fourth-Order Elliptic Equations
- Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator
- The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach
- The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach
- Liouville-type theorems for higher-order Lane–Emden system in exterior domains
- Positive solutions for biharmonic equations: existence, uniqueness and multiplicity
- Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness
This page was built for publication: On the Number of Positive Solutions for a Higher Order Elliptic System