A non-smooth variational approach to differential problems. A case study of non-resonance under the first eigenvalue for a strongly nonlinear elliptic problem
DOI10.1016/S0362-546X(02)00126-8zbMath1043.35058arXivmath/0202106MaRDI QIDQ1863460
Publication date: 11 March 2003
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0202106
Nonsmooth analysis (49J52) Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35)
Cites Work
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- Variational methods and semilinear elliptic equations
- Critical points of convex perturbations of some indefinite quadratic forms and semilinear boundary value problems at resonance
- Weak solutions of quasilinear elliptic PDE's at resonance
- Buckling of nonlinearly elastic rods in the presence of obstacles treated by nonsmoth critical point theory
- The intrinsic mountain pass principle
- Quantitative deformation theorems and critical point theory
- Deformation properties for continuous functionals and critical point theory
- A critical point theory for nonsmooth functionals
- Nontrivial solutions of quasilinear equations via nonsmooth Morse theory
- A general approach to the min-max principle
- On a jumping problem for quasilinear elliptic equations
- Quasilinear elliptic equations at critical growth
- Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory
- Mountain pass theorems and global homeomorphism theorems
- Morse theory for continuous functionals
- Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
- Multiplicity of solutions for quasilinear elliptic equations
- Euler equations involving nonlinearities without growth conditions
- An eigenvalue problem for elliptic systems
- Dual variational methods in critical point theory and applications
- Strongly nonlinear elliptic problems near resonance: a variational approach
- A property of sobolev spaces
- A critical point theorem without compactness and applications
- Nonsmooth critical point theory and applications
- Subdifferential Calculus and Nonsmooth Critical Point Theory
- Existence and multiplicity results for quasilinear elliptic differential systems
- Multiple solutions of semilinear elliptic equations with one-sided growth conditions
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