Multiplicity results for a class of semilinear elliptic equations on \(\mathbb{R}^ m\)

zbMath0866.35043MaRDI QIDQ2563976

Piero Montecchiari

Publication date: 6 January 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__95__217_0

zbMATH Keywords

multiplicitymultibump homoclinic solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Unnamed Item ⋮ Non-autonomous perturbations for a class of quasilinear elliptic equations on \(\mathbb R\) ⋮ On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents ⋮ On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth. ⋮ Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\) ⋮ Nonlinear perturbations of a periodic elliptic problem with critical growth. ⋮ Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents ⋮ A variant of the mountain pass theorem and variational gluing ⋮ Soliton Solutions to a Class of Quasilinear Elliptic Equations on ℝ ⋮ A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• A variational approach to homoclinic orbits in Hamiltonian systems
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Periodic solutions of a second order superquadratic system with a change of sign in the potential
• Bifurcations and Hamilton's principle
• On semilinear elliptic equations with indefinite nonlinearities
• Looking for the Bernoulli shift
• Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems
• On the existence of positive entire solutions of a semilinear elliptic equation
• The Structure of the Critical Set in the Mountain Pass Theorem
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Critical points and nonlinear variational problems
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Homoclinic orbits for a class of Hamiltonian systems
• Existence of infinitely many homoclinic orbits in Hamiltonian systems

This page was built for publication: Multiplicity results for a class of semilinear elliptic equations on \(\mathbb{R}^ m\)