ELLIPTIC EQUATIONS IN ℝ2 WITH ONE-SIDED EXPONENTIAL GROWTH

DOI10.1142/S0219199704001549zbMath1129.35337WikidataQ59311000 ScholiaQ59311000MaRDI QIDQ4675801

Bernhard Ruf, Zhi-tao Zhang, Marta Calanchi

Publication date: 6 May 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

A multiplicity result for some Kirchhoff-type equations involving exponential growth condition in \(\mathbb{R}^2 \) ⋮ A Trudinger-Moser inequality in a weighted Sobolev space and applications ⋮ A singular Liouville equation on two-dimensional domains ⋮ On a Class of Semilinear Elliptic Eigenvalue Problems in ℝ² ⋮ Stationary Schrödinger equations in ℝ² with unbounded or vanishing potentials and involving concave nonlinearities ⋮ Four nontrivial solutions for subcritical exponential equations ⋮ On critical elliptic problems with singular Trudinger-Moser nonlinearities ⋮ Semilinear elliptic problems with asymmetric nonlinearities ⋮ Asymmetric critical \(p\)-Laplacian problems ⋮ A Biharmonic Equation in ℜ⁴ Involving Nonlinearities with Subcritical Exponential Growth ⋮ Two solutions for a planar equation with combined nonlinearities and critical growth ⋮ Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues ⋮ Critical elliptic problems in ℝ² involving resonance in high-order eigenvalues ⋮ The Ambrosetti–Prodi problem for elliptic systems with Trudinger–Moser nonlinearities

Cites Work

• Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities
• Critical superlinear Ambrosetti-Prodi problems
• Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity
• Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero
• Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity.
• On the inversion of some differentiable mappings with singularities between Banach spaces
• On a result by Carleson-Chang concerning the Trudinger-Moser inequality.
• Dual variational methods in critical point theory and applications
• On an inequality by N. Trudinger and J. Moser and related elliptic equations

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