Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry

DOI10.12775/TMNA.2017.018zbMath1397.31002arXiv1602.05984OpenAlexW3098308167WikidataQ115516318 ScholiaQ115516318MaRDI QIDQ1705672

Edger Sterjo

Publication date: 16 March 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05984

zbMATH Keywords

Dirichlet problemmultiplicity of solutionsvariational methodpolyharmonic functionsnonlinearities of exponential type

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Variational methods for higher-order elliptic equations (35J35)

Cites Work

• The principle of symmetric criticality
• Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in \(\mathbb R^2\)
• Forced vibrations of superquadratic Hamiltonian systems
• A sharp inequality of J. Moser for higher order derivatives
• Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• On the Bolza problem
• Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator
• The multiplicity of solutions in non-homogeneous boundary value problems
• Dual variational methods in critical point theory and applications
• Radial solutions of semilinear elliptic equations with broken symmetry
• Multiple Critical Points of Perturbed Symmetric Functionals
• Morse index of some min-max critical points. I. Application to multiplicity results
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• A Perturbation Method in Critical Point Theory and Applications
• Bounds on the eigenvalues of the Laplace and Schroedinger operators
• Existence of infinitely many solutions for a perturbed elliptic equation with exponential growth
• Infinitely many solutions for polyharmonic elliptic problems with broken symmetries
• Variational Methods
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