Infinitely many positive solutions to some nonsymmetric scalar field equations: the planar case

DOI10.1007/S00526-014-0736-7zbMath1318.35009OpenAlexW1969619841MaRDI QIDQ2017823

Sergio Solimini, Giuseppe Devillanova

Publication date: 23 March 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0736-7

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Positive solutions to PDEs (35B09)

Related Items (13)

Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition ⋮ Infinitely many positive solutions of nonlinear Schrödinger equations ⋮ Classification of stable solutions to a fractional singular elliptic equation with weight ⋮ Integral symmetry conditions ⋮ Multiscale weak compactness in metric spaces ⋮ Multiple bump solutions to logarithmic scalar field equations ⋮ The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations ⋮ Min-max levels transition in parametrized elliptic problems on unbounded domains ⋮ Multiple positive solutions for critical elliptic problem with singularity ⋮ Infinitely many positive standing waves for Schrödinger equations with competing coefficients ⋮ Existence of ground state sign-changing solutions of fractional Kirchhoff-type equation with critical growth ⋮ A new critical point theorem with an application to a scalar equation without periodicity and symmetry ⋮ Positive solutions of nonlinear Schrödinger equation with peaks on a Clifford torus

Cites Work

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• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Variational and topological methods in partially ordered Hilbert spaces
• A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobolev space
• Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
• Min-max levels on the double natural constraint
• Min-Max Solutions to Some Scalar Field Equations
• Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients

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