Some useful tools in the study of nonlinear elliptic problems
DOI10.1016/J.EXMATH.2024.125616MaRDI QIDQ6656071
Vicenţiu D. Rădulescu, Nikolaos S. Papageorgiou
Publication date: 2 January 2025
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Dirichlet boundary conditionnonlinear elliptic equationnonhomogeneous differential operatorconstant sign and nodal solutions\((p, q)\)-equationdouble phase energy
Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations of nonlinear operators (47H14) Variational methods for second-order elliptic equations (35J20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Title not available (Why is that?)
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- Regularity for elliptic equations with general growth conditions
- A-priori gradient bound for elliptic systems under either slow or fast growth conditions
- The maximum principle
- Elliptic regularity theory. A first course
- Functional analysis, Sobolev spaces and partial differential equations
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Regularity for a more general class of quasilinear equations
- Elliptic versus parabolic regularization for the equation of prescribed mean curvature
- Elliptic partial differential equations of second order
- Nonuniformly elliptic energy integrals with \(p, q\)-growth
- Orlicz spaces and generalized Orlicz spaces
- Positive solutions for \((p, q)\)-equations with convection and a sign-changing reaction
- Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
- Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems
- Resonant double phase equations
- Anisotropic singular double Phase Dirichlet problems
- Constant sign and nodal solutions for superlinear \((p, q)\)-equations with indefinite potential and a concave boundary term
- Nonlinear nonhomogeneous singular problems
- A variational approach to parabolic equations under general and \(p,q\)-growth conditions
- Gradient estimates for anisotropic elliptic equations
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Non-autonomous \((p, q)\)-equations with unbalanced growth
- Elliptic partial differential equations
- Applied Nonlinear Functional Analysis
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Quasilinear elliptic equations involving critical Sobolev exponents
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- On a dirichlet problem with a singular nonlinearity
- Existence results for double-phase problems via Morse theory
- Nonlinear Analysis - Theory and Methods
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Isotropic and anisotropic double-phase problems: old and new
- Multiple solutions for parametric double phase Dirichlet problems
- Double phase problems: a survey of some recent results
- Function Spaces
- New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems
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