Compact embedding results of Sobolev spaces and positive solutions to an elliptic equation
From MaRDI portal
Publication:5507001
DOI10.1017/S0308210515000670zbMath1362.46038MaRDI QIDQ5507001
Publication date: 16 December 2016
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Positive solutions to PDEs (35B09)
Related Items (5)
A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations ⋮ Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations ⋮ Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities ⋮ Laplace's equation with concave and convex boundary nonlinearities on an exterior region
Cites Work
- Unnamed Item
- On the characterization of the compact embedding of Sobolev spaces
- Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Sull'esistenza di autovalori per un problema al contorno non lineare
- On a class of nonlinear Schrödinger equations
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Elliptic variational problems in \(\mathbb{R}^N\) with critical growth
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- A strong maximum principle for some quasilinear elliptic equations
- Discreteness of spectrum and positivity criteria for Schrödinger operators
- Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions
- A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
- Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev–Hardy exponents
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
- On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Variant fountain theorems and their applications
This page was built for publication: Compact embedding results of Sobolev spaces and positive solutions to an elliptic equation
