(p,2)-equations resonant at any variational eigenvalue

DOI10.1080/17476933.2018.1508287zbMath1444.35042OpenAlexW2886114103MaRDI QIDQ5113378

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Publication date: 11 June 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1508287

zbMATH Keywords

critical groupsmultiple solutions\(p\)-LaplacianLaplacianresonancenonlinear regularity theoryvariational eigenvalues

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Landesman-lazer type \((p, q)\)-equations with Neumann condition ⋮ On some integral inequalities in quantum calculus ⋮ The effects of convolution and gradient dependence on a parametric Dirichlet problem ⋮ Multiple solutions with sign information for a class of coercive \((p, 2)\)-equations

Cites Work

• Unnamed Item
• On a Robin problem with indefinite weight and asymmetric reaction superlinear at \(+\infty\)
• Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance
• Multiple solutions for nonlinear coercive problems with a nonhomogeneous differential operator and a nonsmooth potential
• Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance
• The maximum principle
• Exercises in analysis. II: Nonlinear analysis
• Multiple solutions for semilinear elliptic boundary value problems with double resonance
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Solitons in several space dimensions: Derrick's problem and infinitely many solutions
• \((p,2)\)-equations asymmetric at both zero and infinity
• Multiple solutions for \((p, 2)\)-equations at resonance
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Infinite dimensional Morse theory and multiple solution problems
• Critical groups at zero and multiple solutions for a quasilinear elliptic equation
• On a class of parametric \((p,2)\)-equations
• Asymmetric \(8(p,2)\)-equations with double resonance
• Homotopy theory of infinite dimensional manifolds
• Linear and quasilinear elliptic equations
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Boundary regularity for solutions of degenerate elliptic equations
• Superlinear (p(z), q(z))-equations
• Resonant (p, 2)-equations with concave terms
• Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
• Methods in Nonlinear Analysis
• Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

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