A perturbation method for multiple sign-changing solutions
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Publication:848867
DOI10.1007/s00526-009-0253-2zbMath1186.35041OpenAlexW2156944750MaRDI QIDQ848867
Publication date: 23 February 2010
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-009-0253-2
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
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- Nodal solutions of elliptic equations with critical Sobolev exponents
- Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
- A priori estimates and existence of positive solutions of semilinear elliptic equations
- Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
- Topological results on a certain class of functionals and application
- Remarks on the Schrödinger operator with singular complex potentials
- Concentration estimates and multiple solutions to elliptic problems at critical growth
- Infinite dimensional Morse theory and multiple solution problems
- Some existence results for superlinear elliptic boundary value problems involving critical exponents
- Perturbations from symmetric elliptic boundary value problems
- Perturbations of even nonsmooth functionals
- Remarks on variational methods and lower-upper solutions
- The multiplicity of solutions in non-homogeneous boundary value problems
- Multiple solutions for the Brezis-Nirenberg problem
- Sign Changing Solutions of Superlinear Schrödinger Equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Sign-changing critical points from linking type theorems
- 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
- Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
- Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains
- A Perturbation Method in Critical Point Theory and Applications
- Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
- Infinitely many solutions for indefinite semilinear elliptic equations without symmetry
- On a characterization of flow‐invariant sets
- Critical point theory on partially ordered Hilbert spaces
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