Non-homogeneous Dirichlet problems with concave-convex reaction
DOI10.4171/RLM/959zbMath1486.35230OpenAlexW4213123706MaRDI QIDQ2116071
Roberto Livrea, Vicenţiu D. Rădulescu, Gabriele Bonanno
Publication date: 16 March 2022
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/959
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Unnamed Item
- Two non-zero solutions for elliptic Dirichlet problems
- Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities
- Bifurcation near the origin for the Robin problem with concave-convex nonlinearities
- A critical point theorem via the Ekeland variational principle
- Multiple solutions for an eigenvalue problem involving \(p\)-Laplacian type operators
- Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems
- Nonuniformly elliptic equations of \(p\)-Laplacian type
- Multiplicity of solutions for parametric \(p\)-Laplacian equations with nonlinearity concave near the origin
- Functional analysis, Sobolev spaces and partial differential equations
- Best constant in Sobolev inequality
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Mountain pass solutions to equations of \(p\)-Laplacian type.
- \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
- The strong maximum principle revisited.
- Nodal solutions for nonlinear nonhomogeneous Robin problems
- Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
- Solutions to semilinear elliptic problems with combined nonlinearities
- Positive solutions to a Dirichlet problem with \(p\)-Laplacian and concave-convex nonlinearity depending on a parameter
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator
- Dual variational methods in critical point theory and applications
- Nonlinear nonhomogeneous singular problems
- Noncoercive resonant \((p,2)\)-equations with concave terms
- Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction
- Linear and quasilinear elliptic equations
- Nonlinear elliptic equations with asymmetric asymptotic behavior at \(\pm \infty\)
- Nonlinear elliptic problems with superlinear reaction and parametric concave boundary condition
- Neumann problems with indefinite and unbounded potential and concave terms
- Combined effects of concave–convex nonlinearities and indefinite potential in some elliptic problems
- SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
- Nonlinear Analysis - Theory and Methods
- A Dirichlet problem involving critical exponents
- The Ambrosetti–Prodi Problem for thep-Laplace Operator
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