On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents
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Publication:1909920
DOI10.1007/BF00917575zbMath0849.35027MaRDI QIDQ1909920
Publication date: 7 November 1996
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (10)
Positive solutions for semilinear elliptic equations with singular forcing terms ⋮ Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth ⋮ A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems ⋮ Global existence for parabolic \(p\)-Laplace equations with supercritical growth in whole \(\mathbb{R}^N\) ⋮ Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents. ⋮ Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent ⋮ Fractional elliptic systems with critical nonlinearities ⋮ Multiple solutions of nonhomogeneous Chouquard's equations ⋮ Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents ⋮ Solutions to semilinear elliptic problems with combined nonlinearities
Cites Work
- A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- Elliptic partial differential equations of second order
- Monotone methods for semilinear elliptic equations in unbounded domains
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains
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