Abstract weak Harnack inequality, multiple fixed points and \(p\)-Laplace equations
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Publication:1950317
DOI10.1007/s11784-012-0091-2zbMath1277.47070OpenAlexW2063873084MaRDI QIDQ1950317
Publication date: 13 May 2013
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-012-0091-2
Boundary value problems for second-order elliptic equations (35J25) Fixed-point theorems (47H10) Degenerate elliptic equations (35J70) Applications of operator theory to differential and integral equations (47N20)
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Harnack type inequalities and multiple solutions in cones of nonlinear problems ⋮ A variational inequality theory in reflexive smooth Banach spaces and applications to \(p\)-Laplacian elliptic inequalities ⋮ Multiplicity results for operator systems via fixed point index ⋮ Stationary solutions and connecting orbits for \(p\)-Laplace equation ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems
Cites Work
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- Moser-Harnack inequality, Krasnoselskii type fixed point theorems in cones and elliptic problems
- Critical point theorems in cones and multiple positive solutions of elliptic problems
- Nontrivial solutions for \(p\)-Laplacian systems
- Positive solutions of semilinear differential equations with singularities
- On the existence of positive solutions for semilinear elliptic equations in the annulus
- A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
- A priori estimates and existence of positive solutions for strongly nonlinear problems
- Multiple positive solutions for classes of \(p\)-Laplacian equations.
- Positive solutions of nonlinear systems with \(p\)-Laplacian on finite and semi-infinite intervals
- Harnack inequalities: an introduction
- On Harnack's theorem for elliptic differential equations
- On the Existence of Positive Solutions of Ordinary Differential Equations
- On a class of sublinear quasilinear elliptic problems
- Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential∗
- Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality
- On harnack type inequalities and their application to quasilinear elliptic equations
- Existence and uniqueness of positive solutions for some quasilinear elliptic problems
- Positive \(L^p\) solutions of Hammerstein integral equations
- Variational and topological methods for Dirichlet problems with \(p\)-Laplacian