Exact multiplicity for some quasilinear elliptic Dirichlet problems where the non-linearity changes sign
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Publication:1779845
DOI10.1016/j.na.2004.02.033zbMath1073.35047OpenAlexW2007134308MaRDI QIDQ1779845
Publication date: 1 June 2005
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2004.02.033
Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45)
Related Items (6)
Exact multiplicity for boundary blow-up solutions ⋮ Existence and multiplicity of positive solutions to a quasilinear elliptic equation with strong Allee effect growth rate ⋮ A universal bound for radial solutions of the quasilinear parabolic equation with \(p\)-Laplace operator ⋮ Transition-layer solutions of quasilinear elliptic boundary blow-up problems and Dirichlet problems ⋮ Structure of least-energy solutions for quasilinear elliptic equations on convex domains ⋮ An optimal Liouville-type theorem of the quasilinear parabolic equation with a \(p\)-Laplace operator
Cites Work
- Unnamed Item
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- Local and global properties of solutions of quasilinear elliptic equations
- Symmetry and related properties via the maximum principle
- Global bifurcation from the eigenvalues of the \(p\)-Laplacian
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Exact multiplicity results for two classes of boundary value problems
- Liouville type results and eventual flatness of positive solutions for \(p\)-Laplacian equations.
- \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
- On the shape of the nonnegative solutions to a singularly perturbed quasilinear Dirichlet problem
- Asymptotic properties of a reaction-diffusion equation with degenerate \(p\)-Laplacian
- A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
- Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign
- Large and small solutions of a class of quasilinear elliptic eigenvalue problems
- Symmetry of ground states of quasilinear elliptic equations
- On positive solutions of some singularly perturbed problems where the nonlinearity changes sign
- On the uniqueness of the positive solution of a singularly perturbed problem
- Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
- Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space
- A strong maximum principle for some quasilinear elliptic equations
- Linear and quasilinear elliptic equations
- The set of positive solutions of semilinear equations in large balls
- Uniqueness and Flat Core of Positive Solutions for Quasilinear Elliptic Eigenvalue Problems in General Smooth Domains
- Bifurcation Phenomena Associated to the p-Laplace Operator
- Multiple solutions for quasilinear elliptic equations
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- On the Number of Positive Solutions of Weakly Non-Linear Elliptic Equations when a Parameter is Large
- Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems
- Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large
- Multiplicity Results for Two Classes of Boundary-Value Problems
- An Exact Multiplicity Result for a class of Semilinear Equations
- On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem
- Some uniqueness results for a class of quasilinear elliptic eigenvalue problems
- Structure of non-trivial non-negative solutions to singularly perturbed semilinear Dirichlet problems
- PROFILE OF SOLUTIONS WITH SHARP LAYERS TO SOME SINGULARLY PERTURBED QUASILINEAR DIRICHLET PROBLEMS
- Positive solutions of a degenerate elliptic equation with logistic reaction
- Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations
- Solutions with boundary‐layers and spike‐layers to singularly perturbed quasilinear Dirichlet problems
- Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
- On the number of positive solutions for quasilinear elliptic eigenvalue problems
- Existence of ground states and free boundary problems for quasilinear elliptic operators
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