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Amann-Zehnder type results for \(p\)-Laplace problems - MaRDI portal

Amann-Zehnder type results for \(p\)-Laplace problems (Q2413463)

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Language	Label	Description	Also known as
English	Amann-Zehnder type results for \(p\)-Laplace problems	scientific article

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scholarly article

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Amann-Zehnder type results for \(p\)-Laplace problems (English)

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Silvia Cingolani

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Marco Degiovanni

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Giuseppina Vannella

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Annali di Matematica Pura ed Applicata. Serie Quarta

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publication date

10 April 2018

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full work available at URL

https://arxiv.org/abs/1611.02640

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zbMATH Keywords

\(p\)-Laplace operator

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\(p\)-area functional

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Morse theory techniques

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critical groups

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MaRDI profile type

MaRDI publication profile

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A smooth pseudo-gradient for the Lagrangian action functional

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Morse index and uniqueness for positive solutions of radial $p$-Laplace equations

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On degree theory for quasilinear elliptic equations with natural growth conditions

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Fixed point theory and nonlinear problems

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Solutions of asymptotically linear operator equations via morse theory

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Morse theory on Branach space and its applications to partial differential equations

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Infinite dimensional Morse theory and multiple solution problems

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Nontrivial Solutions for<i>p</i>-Laplace Equations with Right-Hand Side Having<i>p</i>-Linear Growth at Infinity

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On the Poincaré-Hopf Theorem for Functionals Defined on Banach Spaces

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On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators

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Critical groups computations on a class of Sobolev Banach spaces via Morse index

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Morse index and critical groups for \(p\)-Laplace equations with critical exponents

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Marino-Prodi perturbation type results and Morse indices of minimax critical points for a class of functionals in Banach spaces

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Quantitative deformation theorems and critical point theory

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Homotopical stability of isolated critical points of continuous functionals

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On topological Morse theory

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Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity

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C1 + α local regularity of weak solutions of degenerate elliptic equations

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Resonance problems for the \(p\)-Laplacian

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Bifurcation for odd potential operators and an alternative topological index

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Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems

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SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS

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On differentiable functions with isolated critical points

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Quasilinear elliptic equations involving critical Sobolev exponents

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\(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.

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On Lower Semicontinuity of Integral Functionals. II

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Linear and quasilinear elliptic equations

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Morse index estimates for continuous functionals associated with quasilinear elliptic equations.

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Nontrivial solutions of operator equations and Morse indices of critical points of min-max type

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Boundary regularity for solutions of degenerate elliptic equations

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On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0

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Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"

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Critical point theory and Hamiltonian systems

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Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index

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On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality

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On The Dirichletproblem for Quasilinear Equations

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Regularity for a more general class of quasilinear equations

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A general approach to Morse theory

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Morse theory on Banach manifolds

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Identifiers

zbMATH Open document ID

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10.1007/s10231-017-0694-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2413463

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