The asymptotic behavior of the ground state solutions for biharmonic equations
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Publication:631749
DOI10.1016/J.NA.2010.12.027zbMath1209.35048OpenAlexW2065759067MaRDI QIDQ631749
Publication date: 14 March 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.12.027
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (2)
Existence of infinitely many spike solutions for a critical Hénon type biharmonic equation ⋮ Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity
Cites Work
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- The concentration-compactness principle in the calculus of variations. The limit case. I
- A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- The asymptotic behaviour of the ground state solutions for Hénon equation.
- On the Hénon equation: asymptotic profile of ground states. II
- Critical exponents, critical dimensions and the biharmonic operator
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
- The best sobolev constant
- Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems
- A priori bounds for positive solutions of nonlinear elliptic equations
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